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Finding the Fourth Proportional to 714,748.12, 986,363.94 and 392,488

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Solution

The fourth proportional to 714,748.12, 986,363.94 and 392,488 is: 541,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,748.12 : 986,363.94 = 392,488 : x
  2. Step 2: Convert to fraction form
    714,748.12/986,363.94 = 392,488/x
  3. Step 3: Cross multiply
    714,748.12x = 986,363.94 × 392,488
  4. Step 4: Simplify right side
    714,748.12x = 387,136,010,082.72
  5. Step 5: Solve for x
    x = 387,136,010,082.72/714,748.12
  6. Step 6: Final answer
    x = 541,639.77

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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.