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Finding the Fourth Proportional to 309,053.70, 463,575.96 and 84,413.76

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Solution

The fourth proportional to 309,053.70, 463,575.96 and 84,413.76 is: 126,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,053.70 : 463,575.96 = 84,413.76 : x
  2. Step 2: Convert to fraction form
    309,053.70/463,575.96 = 84,413.76/x
  3. Step 3: Cross multiply
    309,053.70x = 463,575.96 × 84,413.76
  4. Step 4: Simplify right side
    309,053.70x = 39,132,189,829.21
  5. Step 5: Solve for x
    x = 39,132,189,829.21/309,053.70
  6. Step 6: Final answer
    x = 126,619.39

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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.