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Finding the Fourth Proportional to 410,555.79, 615,826.40 and 130,065.75

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Solution

The fourth proportional to 410,555.79, 615,826.40 and 130,065.75 is: 195,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,555.79 : 615,826.40 = 130,065.75 : x
  2. Step 2: Convert to fraction form
    410,555.79/615,826.40 = 130,065.75/x
  3. Step 3: Cross multiply
    410,555.79x = 615,826.40 × 130,065.75
  4. Step 4: Simplify right side
    410,555.79x = 80,097,921,935.47
  5. Step 5: Solve for x
    x = 80,097,921,935.47/410,555.79
  6. Step 6: Final answer
    x = 195,096.32

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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.