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Finding the Fourth Proportional to 409,970.82, 615,146.04 and 157,166.76

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Solution

The fourth proportional to 409,970.82, 615,146.04 and 157,166.76 is: 235,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,970.82 : 615,146.04 = 157,166.76 : x
  2. Step 2: Convert to fraction form
    409,970.82/615,146.04 = 157,166.76/x
  3. Step 3: Cross multiply
    409,970.82x = 615,146.04 × 157,166.76
  4. Step 4: Simplify right side
    409,970.82x = 96,680,510,033.63
  5. Step 5: Solve for x
    x = 96,680,510,033.63/409,970.82
  6. Step 6: Final answer
    x = 235,822.91

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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.