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Finding the Fourth Proportional to 431,685.40, 648,305.70 and 417,688.60

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Solution

The fourth proportional to 431,685.40, 648,305.70 and 417,688.60 is: 627,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,685.40 : 648,305.70 = 417,688.60 : x
  2. Step 2: Convert to fraction form
    431,685.40/648,305.70 = 417,688.60/x
  3. Step 3: Cross multiply
    431,685.40x = 648,305.70 × 417,688.60
  4. Step 4: Simplify right side
    431,685.40x = 270,789,900,205.02
  5. Step 5: Solve for x
    x = 270,789,900,205.02/431,685.40
  6. Step 6: Final answer
    x = 627,285.29

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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.