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Finding the Fourth Proportional to 410,628.12, 615,959.64 and 130,139.16

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Solution

The fourth proportional to 410,628.12, 615,959.64 and 130,139.16 is: 195,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,628.12 : 615,959.64 = 130,139.16 : x
  2. Step 2: Convert to fraction form
    410,628.12/615,959.64 = 130,139.16/x
  3. Step 3: Cross multiply
    410,628.12x = 615,959.64 × 130,139.16
  4. Step 4: Simplify right side
    410,628.12x = 80,160,470,143.50
  5. Step 5: Solve for x
    x = 80,160,470,143.50/410,628.12
  6. Step 6: Final answer
    x = 195,214.27

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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.