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Finding the Fourth Proportional to 284,060.99, 392,012.31 and 156,744.78

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Solution

The fourth proportional to 284,060.99, 392,012.31 and 156,744.78 is: 216,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,060.99 : 392,012.31 = 156,744.78 : x
  2. Step 2: Convert to fraction form
    284,060.99/392,012.31 = 156,744.78/x
  3. Step 3: Cross multiply
    284,060.99x = 392,012.31 × 156,744.78
  4. Step 4: Simplify right side
    284,060.99x = 61,445,883,288.24
  5. Step 5: Solve for x
    x = 61,445,883,288.24/284,060.99
  6. Step 6: Final answer
    x = 216,312.29

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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.