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Finding the Fourth Proportional to 284,405.11, 392,445.48 and 157,073.11

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Solution

The fourth proportional to 284,405.11, 392,445.48 and 157,073.11 is: 216,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,405.11 : 392,445.48 = 157,073.11 : x
  2. Step 2: Convert to fraction form
    284,405.11/392,445.48 = 157,073.11/x
  3. Step 3: Cross multiply
    284,405.11x = 392,445.48 × 157,073.11
  4. Step 4: Simplify right side
    284,405.11x = 61,642,632,049.04
  5. Step 5: Solve for x
    x = 61,642,632,049.04/284,405.11
  6. Step 6: Final answer
    x = 216,742.35

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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.