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Finding the Fourth Proportional to 410,026.76, 615,036.48 and 129,544

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Solution

The fourth proportional to 410,026.76, 615,036.48 and 129,544 is: 194,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,026.76 : 615,036.48 = 129,544 : x
  2. Step 2: Convert to fraction form
    410,026.76/615,036.48 = 129,544/x
  3. Step 3: Cross multiply
    410,026.76x = 615,036.48 × 129,544
  4. Step 4: Simplify right side
    410,026.76x = 79,674,285,765.12
  5. Step 5: Solve for x
    x = 79,674,285,765.12/410,026.76
  6. Step 6: Final answer
    x = 194,314.84

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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.