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Finding the Fourth Proportional to 468,406.38, 646,401.15 and 253,545.78

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Solution

The fourth proportional to 468,406.38, 646,401.15 and 253,545.78 is: 349,893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,406.38 : 646,401.15 = 253,545.78 : x
  2. Step 2: Convert to fraction form
    468,406.38/646,401.15 = 253,545.78/x
  3. Step 3: Cross multiply
    468,406.38x = 646,401.15 × 253,545.78
  4. Step 4: Simplify right side
    468,406.38x = 163,892,283,769.65
  5. Step 5: Solve for x
    x = 163,892,283,769.65/468,406.38
  6. Step 6: Final answer
    x = 349,893.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.