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Finding the Fourth Proportional to 610,363.41, 915,358.10 and 422,034

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Solution

The fourth proportional to 610,363.41, 915,358.10 and 422,034 is: 632,921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,363.41 : 915,358.10 = 422,034 : x
  2. Step 2: Convert to fraction form
    610,363.41/915,358.10 = 422,034/x
  3. Step 3: Cross multiply
    610,363.41x = 915,358.10 × 422,034
  4. Step 4: Simplify right side
    610,363.41x = 386,312,240,375.40
  5. Step 5: Solve for x
    x = 386,312,240,375.40/610,363.41
  6. Step 6: Final answer
    x = 632,921.69

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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.