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Finding the Fourth Proportional to 410,521.70, 615,840.15 and 130,009.70

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Solution

The fourth proportional to 410,521.70, 615,840.15 and 130,009.70 is: 195,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,521.70 : 615,840.15 = 130,009.70 : x
  2. Step 2: Convert to fraction form
    410,521.70/615,840.15 = 130,009.70/x
  3. Step 3: Cross multiply
    410,521.70x = 615,840.15 × 130,009.70
  4. Step 4: Simplify right side
    410,521.70x = 80,065,193,149.46
  5. Step 5: Solve for x
    x = 80,065,193,149.46/410,521.70
  6. Step 6: Final answer
    x = 195,032.79

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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.