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Finding the Fourth Proportional to 465,553.32, 642,413.70 and 312,560.52

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Solution

The fourth proportional to 465,553.32, 642,413.70 and 312,560.52 is: 431,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,553.32 : 642,413.70 = 312,560.52 : x
  2. Step 2: Convert to fraction form
    465,553.32/642,413.70 = 312,560.52/x
  3. Step 3: Cross multiply
    465,553.32x = 642,413.70 × 312,560.52
  4. Step 4: Simplify right side
    465,553.32x = 200,793,160,127.12
  5. Step 5: Solve for x
    x = 200,793,160,127.12/465,553.32
  6. Step 6: Final answer
    x = 431,300.03

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1.5x scale

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.