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Finding the Fourth Proportional to 315,937.91, 474,038.72 and 138,572.21

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Solution

The fourth proportional to 315,937.91, 474,038.72 and 138,572.21 is: 207,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,937.91 : 474,038.72 = 138,572.21 : x
  2. Step 2: Convert to fraction form
    315,937.91/474,038.72 = 138,572.21/x
  3. Step 3: Cross multiply
    315,937.91x = 474,038.72 × 138,572.21
  4. Step 4: Simplify right side
    315,937.91x = 65,688,593,055.97
  5. Step 5: Solve for x
    x = 65,688,593,055.97/315,937.91
  6. Step 6: Final answer
    x = 207,916.15

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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.