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Finding the Fourth Proportional to 420,152.86, 579,760.50 and 238,865.14

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Solution

The fourth proportional to 420,152.86, 579,760.50 and 238,865.14 is: 329,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,152.86 : 579,760.50 = 238,865.14 : x
  2. Step 2: Convert to fraction form
    420,152.86/579,760.50 = 238,865.14/x
  3. Step 3: Cross multiply
    420,152.86x = 579,760.50 × 238,865.14
  4. Step 4: Simplify right side
    420,152.86x = 138,484,572,998.97
  5. Step 5: Solve for x
    x = 138,484,572,998.97/420,152.86
  6. Step 6: Final answer
    x = 329,605.21

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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.