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Finding the Fourth Proportional to 717,361.25, 989,920.56 and 411,421.82

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Solution

The fourth proportional to 717,361.25, 989,920.56 and 411,421.82 is: 567,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,361.25 : 989,920.56 = 411,421.82 : x
  2. Step 2: Convert to fraction form
    717,361.25/989,920.56 = 411,421.82/x
  3. Step 3: Cross multiply
    717,361.25x = 989,920.56 × 411,421.82
  4. Step 4: Simplify right side
    717,361.25x = 407,274,913,501.02
  5. Step 5: Solve for x
    x = 407,274,913,501.02/717,361.25
  6. Step 6: Final answer
    x = 567,740.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.