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Finding the Fourth Proportional to 284,236.96, 392,244.59 and 156,909.82

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Solution

The fourth proportional to 284,236.96, 392,244.59 and 156,909.82 is: 216,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,236.96 : 392,244.59 = 156,909.82 : x
  2. Step 2: Convert to fraction form
    284,236.96/392,244.59 = 156,909.82/x
  3. Step 3: Cross multiply
    284,236.96x = 392,244.59 × 156,909.82
  4. Step 4: Simplify right side
    284,236.96x = 61,547,026,051.65
  5. Step 5: Solve for x
    x = 61,547,026,051.65/284,236.96
  6. Step 6: Final answer
    x = 216,534.22

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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.