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Finding the Fourth Proportional to 284,209.28, 392,208.88 and 156,884.96

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Solution

The fourth proportional to 284,209.28, 392,208.88 and 156,884.96 is: 216,501.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,209.28 : 392,208.88 = 156,884.96 : x
  2. Step 2: Convert to fraction form
    284,209.28/392,208.88 = 156,884.96/x
  3. Step 3: Cross multiply
    284,209.28x = 392,208.88 × 156,884.96
  4. Step 4: Simplify right side
    284,209.28x = 61,531,674,450.44
  5. Step 5: Solve for x
    x = 61,531,674,450.44/284,209.28
  6. Step 6: Final answer
    x = 216,501.29

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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.