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Finding the Fourth Proportional to 284,290.38, 392,323.65 and 156,965.67

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Solution

The fourth proportional to 284,290.38, 392,323.65 and 156,965.67 is: 216,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,290.38 : 392,323.65 = 156,965.67 : x
  2. Step 2: Convert to fraction form
    284,290.38/392,323.65 = 156,965.67/x
  3. Step 3: Cross multiply
    284,290.38x = 392,323.65 × 156,965.67
  4. Step 4: Simplify right side
    284,290.38x = 61,581,344,579.10
  5. Step 5: Solve for x
    x = 61,581,344,579.10/284,290.38
  6. Step 6: Final answer
    x = 216,614.24

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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.