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Finding the Fourth Proportional to 410,237.73, 615,428.82 and 140,302.41

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Solution

The fourth proportional to 410,237.73, 615,428.82 and 140,302.41 is: 210,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,237.73 : 615,428.82 = 140,302.41 : x
  2. Step 2: Convert to fraction form
    410,237.73/615,428.82 = 140,302.41/x
  3. Step 3: Cross multiply
    410,237.73x = 615,428.82 × 140,302.41
  4. Step 4: Simplify right side
    410,237.73x = 86,346,146,629.46
  5. Step 5: Solve for x
    x = 86,346,146,629.46/410,237.73
  6. Step 6: Final answer
    x = 210,478.32

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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.