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Finding the Fourth Proportional to 285,737.64, 394,296.39 and 156,655.50

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Solution

The fourth proportional to 285,737.64, 394,296.39 and 156,655.50 is: 216,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,737.64 : 394,296.39 = 156,655.50 : x
  2. Step 2: Convert to fraction form
    285,737.64/394,296.39 = 156,655.50/x
  3. Step 3: Cross multiply
    285,737.64x = 394,296.39 × 156,655.50
  4. Step 4: Simplify right side
    285,737.64x = 61,768,698,123.65
  5. Step 5: Solve for x
    x = 61,768,698,123.65/285,737.64
  6. Step 6: Final answer
    x = 216,172.77

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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.