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Finding the Fourth Proportional to 564,987.28, 847,838.04 and 315,832.72

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Solution

The fourth proportional to 564,987.28, 847,838.04 and 315,832.72 is: 473,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,987.28 : 847,838.04 = 315,832.72 : x
  2. Step 2: Convert to fraction form
    564,987.28/847,838.04 = 315,832.72/x
  3. Step 3: Cross multiply
    564,987.28x = 847,838.04 × 315,832.72
  4. Step 4: Simplify right side
    564,987.28x = 267,774,994,292.67
  5. Step 5: Solve for x
    x = 267,774,994,292.67/564,987.28
  6. Step 6: Final answer
    x = 473,948.71

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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.