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Finding the Fourth Proportional to 648,742.90, 973,114.35 and 470,413.30

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Solution

The fourth proportional to 648,742.90, 973,114.35 and 470,413.30 is: 705,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,742.90 : 973,114.35 = 470,413.30 : x
  2. Step 2: Convert to fraction form
    648,742.90/973,114.35 = 470,413.30/x
  3. Step 3: Cross multiply
    648,742.90x = 973,114.35 × 470,413.30
  4. Step 4: Simplify right side
    648,742.90x = 457,765,932,660.86
  5. Step 5: Solve for x
    x = 457,765,932,660.86/648,742.90
  6. Step 6: Final answer
    x = 705,619.95

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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.