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Finding the Fourth Proportional to 425,134.28, 586,929.30 and 282,088.28

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Solution

The fourth proportional to 425,134.28, 586,929.30 and 282,088.28 is: 389,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,134.28 : 586,929.30 = 282,088.28 : x
  2. Step 2: Convert to fraction form
    425,134.28/586,929.30 = 282,088.28/x
  3. Step 3: Cross multiply
    425,134.28x = 586,929.30 × 282,088.28
  4. Step 4: Simplify right side
    425,134.28x = 165,565,876,718.60
  5. Step 5: Solve for x
    x = 165,565,876,718.60/425,134.28
  6. Step 6: Final answer
    x = 389,443.72

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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.