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Finding the Fourth Proportional to 338,946.71, 508,423.04 and 86,227.46

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Solution

The fourth proportional to 338,946.71, 508,423.04 and 86,227.46 is: 129,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,946.71 : 508,423.04 = 86,227.46 : x
  2. Step 2: Convert to fraction form
    338,946.71/508,423.04 = 86,227.46/x
  3. Step 3: Cross multiply
    338,946.71x = 508,423.04 × 86,227.46
  4. Step 4: Simplify right side
    338,946.71x = 43,840,026,601.37
  5. Step 5: Solve for x
    x = 43,840,026,601.37/338,946.71
  6. Step 6: Final answer
    x = 129,341.95

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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.