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Finding the Fourth Proportional to 462,862.78, 638,471.33 and 305,699.66

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Solution

The fourth proportional to 462,862.78, 638,471.33 and 305,699.66 is: 421,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,862.78 : 638,471.33 = 305,699.66 : x
  2. Step 2: Convert to fraction form
    462,862.78/638,471.33 = 305,699.66/x
  3. Step 3: Cross multiply
    462,862.78x = 638,471.33 × 305,699.66
  4. Step 4: Simplify right side
    462,862.78x = 195,180,468,500.75
  5. Step 5: Solve for x
    x = 195,180,468,500.75/462,862.78
  6. Step 6: Final answer
    x = 421,681.06

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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.