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Finding the Fourth Proportional to 412,957.86, 619,429.50 and 113,437.28

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Solution

The fourth proportional to 412,957.86, 619,429.50 and 113,437.28 is: 170,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,957.86 : 619,429.50 = 113,437.28 : x
  2. Step 2: Convert to fraction form
    412,957.86/619,429.50 = 113,437.28/x
  3. Step 3: Cross multiply
    412,957.86x = 619,429.50 × 113,437.28
  4. Step 4: Simplify right side
    412,957.86x = 70,266,397,631.76
  5. Step 5: Solve for x
    x = 70,266,397,631.76/412,957.86
  6. Step 6: Final answer
    x = 170,153.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.