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Finding the Fourth Proportional to 542,867.63, 814,717.15 and 390,991.76

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Solution

The fourth proportional to 542,867.63, 814,717.15 and 390,991.76 is: 586,787.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,867.63 : 814,717.15 = 390,991.76 : x
  2. Step 2: Convert to fraction form
    542,867.63/814,717.15 = 390,991.76/x
  3. Step 3: Cross multiply
    542,867.63x = 814,717.15 × 390,991.76
  4. Step 4: Simplify right side
    542,867.63x = 318,547,690,934.64
  5. Step 5: Solve for x
    x = 318,547,690,934.64/542,867.63
  6. Step 6: Final answer
    x = 586,787.04

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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.