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Finding the Fourth Proportional to 284,494.05, 392,609.72 and 157,177.85

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Solution

The fourth proportional to 284,494.05, 392,609.72 and 157,177.85 is: 216,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,494.05 : 392,609.72 = 157,177.85 : x
  2. Step 2: Convert to fraction form
    284,494.05/392,609.72 = 157,177.85/x
  3. Step 3: Cross multiply
    284,494.05x = 392,609.72 × 157,177.85
  4. Step 4: Simplify right side
    284,494.05x = 61,709,550,108.60
  5. Step 5: Solve for x
    x = 61,709,550,108.60/284,494.05
  6. Step 6: Final answer
    x = 216,909.81

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1.5x scale

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.