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Finding the Fourth Proportional to 423,083.74, 634,617.41 and 103,237.69

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Solution

The fourth proportional to 423,083.74, 634,617.41 and 103,237.69 is: 154,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,083.74 : 634,617.41 = 103,237.69 : x
  2. Step 2: Convert to fraction form
    423,083.74/634,617.41 = 103,237.69/x
  3. Step 3: Cross multiply
    423,083.74x = 634,617.41 × 103,237.69
  4. Step 4: Simplify right side
    423,083.74x = 65,516,432,269.10
  5. Step 5: Solve for x
    x = 65,516,432,269.10/423,083.74
  6. Step 6: Final answer
    x = 154,854.53

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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.