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Finding the Fourth Proportional to 686,990.36, 947,978.94 and 381,061.40

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Solution

The fourth proportional to 686,990.36, 947,978.94 and 381,061.40 is: 525,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,990.36 : 947,978.94 = 381,061.40 : x
  2. Step 2: Convert to fraction form
    686,990.36/947,978.94 = 381,061.40/x
  3. Step 3: Cross multiply
    686,990.36x = 947,978.94 × 381,061.40
  4. Step 4: Simplify right side
    686,990.36x = 361,238,182,046.92
  5. Step 5: Solve for x
    x = 361,238,182,046.92/686,990.36
  6. Step 6: Final answer
    x = 525,827.15

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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.