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Finding the Fourth Proportional to 284,590.17, 392,734.31 and 157,264.65

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Solution

The fourth proportional to 284,590.17, 392,734.31 and 157,264.65 is: 217,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,590.17 : 392,734.31 = 157,264.65 : x
  2. Step 2: Convert to fraction form
    284,590.17/392,734.31 = 157,264.65/x
  3. Step 3: Cross multiply
    284,590.17x = 392,734.31 × 157,264.65
  4. Step 4: Simplify right side
    284,590.17x = 61,763,223,018.82
  5. Step 5: Solve for x
    x = 61,763,223,018.82/284,590.17
  6. Step 6: Final answer
    x = 217,025.15

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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.