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Finding the Fourth Proportional to 410,628.32, 615,964.32 and 130,167.52

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Solution

The fourth proportional to 410,628.32, 615,964.32 and 130,167.52 is: 195,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,628.32 : 615,964.32 = 130,167.52 : x
  2. Step 2: Convert to fraction form
    410,628.32/615,964.32 = 130,167.52/x
  3. Step 3: Cross multiply
    410,628.32x = 615,964.32 × 130,167.52
  4. Step 4: Simplify right side
    410,628.32x = 80,178,547,942.89
  5. Step 5: Solve for x
    x = 80,178,547,942.89/410,628.32
  6. Step 6: Final answer
    x = 195,258.20

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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.