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Finding the Fourth Proportional to 585,439.47, 808,041.56 and 381,134.66

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Solution

The fourth proportional to 585,439.47, 808,041.56 and 381,134.66 is: 526,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,439.47 : 808,041.56 = 381,134.66 : x
  2. Step 2: Convert to fraction form
    585,439.47/808,041.56 = 381,134.66/x
  3. Step 3: Cross multiply
    585,439.47x = 808,041.56 × 381,134.66
  4. Step 4: Simplify right side
    585,439.47x = 307,972,639,290.59
  5. Step 5: Solve for x
    x = 307,972,639,290.59/585,439.47
  6. Step 6: Final answer
    x = 526,053.77

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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.