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Finding the Fourth Proportional to 412,052.70, 616,869.45 and 307,335.90

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Solution

The fourth proportional to 412,052.70, 616,869.45 and 307,335.90 is: 460,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,052.70 : 616,869.45 = 307,335.90 : x
  2. Step 2: Convert to fraction form
    412,052.70/616,869.45 = 307,335.90/x
  3. Step 3: Cross multiply
    412,052.70x = 616,869.45 × 307,335.90
  4. Step 4: Simplify right side
    412,052.70x = 189,586,127,598.26
  5. Step 5: Solve for x
    x = 189,586,127,598.26/412,052.70
  6. Step 6: Final answer
    x = 460,101.65

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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.