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Finding the Fourth Proportional to 315,948.30, 473,997.59 and 102,717.15

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Solution

The fourth proportional to 315,948.30, 473,997.59 and 102,717.15 is: 154,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,948.30 : 473,997.59 = 102,717.15 : x
  2. Step 2: Convert to fraction form
    315,948.30/473,997.59 = 102,717.15/x
  3. Step 3: Cross multiply
    315,948.30x = 473,997.59 × 102,717.15
  4. Step 4: Simplify right side
    315,948.30x = 48,687,681,551.67
  5. Step 5: Solve for x
    x = 48,687,681,551.67/315,948.30
  6. Step 6: Final answer
    x = 154,100.15

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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.