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Finding the Fourth Proportional to 423,083.61, 634,617.23 and 103,237.56

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Solution

The fourth proportional to 423,083.61, 634,617.23 and 103,237.56 is: 154,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,083.61 : 634,617.23 = 103,237.56 : x
  2. Step 2: Convert to fraction form
    423,083.61/634,617.23 = 103,237.56/x
  3. Step 3: Cross multiply
    423,083.61x = 634,617.23 × 103,237.56
  4. Step 4: Simplify right side
    423,083.61x = 65,516,333,842.97
  5. Step 5: Solve for x
    x = 65,516,333,842.97/423,083.61
  6. Step 6: Final answer
    x = 154,854.34

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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.