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Finding the Fourth Proportional to 424,456.50, 585,833.16 and 243,289.86

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Solution

The fourth proportional to 424,456.50, 585,833.16 and 243,289.86 is: 335,787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,456.50 : 585,833.16 = 243,289.86 : x
  2. Step 2: Convert to fraction form
    424,456.50/585,833.16 = 243,289.86/x
  3. Step 3: Cross multiply
    424,456.50x = 585,833.16 × 243,289.86
  4. Step 4: Simplify right side
    424,456.50x = 142,527,267,479.76
  5. Step 5: Solve for x
    x = 142,527,267,479.76/424,456.50
  6. Step 6: Final answer
    x = 335,787.69

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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.