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Finding the Fourth Proportional to 410,628.67, 615,943.02 and 154,509.40

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Solution

The fourth proportional to 410,628.67, 615,943.02 and 154,509.40 is: 231,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,628.67 : 615,943.02 = 154,509.40 : x
  2. Step 2: Convert to fraction form
    410,628.67/615,943.02 = 154,509.40/x
  3. Step 3: Cross multiply
    410,628.67x = 615,943.02 × 154,509.40
  4. Step 4: Simplify right side
    410,628.67x = 95,168,986,454.39
  5. Step 5: Solve for x
    x = 95,168,986,454.39/410,628.67
  6. Step 6: Final answer
    x = 231,764.11

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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.