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Finding the Fourth Proportional to 321,575.77, 482,386.20 and 96,938.05

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Solution

The fourth proportional to 321,575.77, 482,386.20 and 96,938.05 is: 145,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,575.77 : 482,386.20 = 96,938.05 : x
  2. Step 2: Convert to fraction form
    321,575.77/482,386.20 = 96,938.05/x
  3. Step 3: Cross multiply
    321,575.77x = 482,386.20 × 96,938.05
  4. Step 4: Simplify right side
    321,575.77x = 46,761,577,574.91
  5. Step 5: Solve for x
    x = 46,761,577,574.91/321,575.77
  6. Step 6: Final answer
    x = 145,413.87

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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.