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Finding the Fourth Proportional to 408,777.47, 563,528.27 and 287,542.47

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Solution

The fourth proportional to 408,777.47, 563,528.27 and 287,542.47 is: 396,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,777.47 : 563,528.27 = 287,542.47 : x
  2. Step 2: Convert to fraction form
    408,777.47/563,528.27 = 287,542.47/x
  3. Step 3: Cross multiply
    408,777.47x = 563,528.27 × 287,542.47
  4. Step 4: Simplify right side
    408,777.47x = 162,038,313,502.71
  5. Step 5: Solve for x
    x = 162,038,313,502.71/408,777.47
  6. Step 6: Final answer
    x = 396,397.37

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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.