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Finding the Fourth Proportional to 386,127.84, 532,855.92 and 216,363.12

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Solution

The fourth proportional to 386,127.84, 532,855.92 and 216,363.12 is: 298,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,127.84 : 532,855.92 = 216,363.12 : x
  2. Step 2: Convert to fraction form
    386,127.84/532,855.92 = 216,363.12/x
  3. Step 3: Cross multiply
    386,127.84x = 532,855.92 × 216,363.12
  4. Step 4: Simplify right side
    386,127.84x = 115,290,369,361.67
  5. Step 5: Solve for x
    x = 115,290,369,361.67/386,127.84
  6. Step 6: Final answer
    x = 298,580.83

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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.