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Finding the Fourth Proportional to 285,538.86, 394,035.08 and 156,475.80

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Solution

The fourth proportional to 285,538.86, 394,035.08 and 156,475.80 is: 215,931.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,538.86 : 394,035.08 = 156,475.80 : x
  2. Step 2: Convert to fraction form
    285,538.86/394,035.08 = 156,475.80/x
  3. Step 3: Cross multiply
    285,538.86x = 394,035.08 × 156,475.80
  4. Step 4: Simplify right side
    285,538.86x = 61,656,953,588.69
  5. Step 5: Solve for x
    x = 61,656,953,588.69/285,538.86
  6. Step 6: Final answer
    x = 215,931.92

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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.