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Finding the Fourth Proportional to 647,608.90, 971,413.35 and 411,412.90

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Solution

The fourth proportional to 647,608.90, 971,413.35 and 411,412.90 is: 617,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,608.90 : 971,413.35 = 411,412.90 : x
  2. Step 2: Convert to fraction form
    647,608.90/971,413.35 = 411,412.90/x
  3. Step 3: Cross multiply
    647,608.90x = 971,413.35 × 411,412.90
  4. Step 4: Simplify right side
    647,608.90x = 399,651,983,422.22
  5. Step 5: Solve for x
    x = 399,651,983,422.22/647,608.90
  6. Step 6: Final answer
    x = 617,119.35

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.