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Finding the Fourth Proportional to 649,347.97, 974,232.20 and 312,344.77

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Solution

The fourth proportional to 649,347.97, 974,232.20 and 312,344.77 is: 468,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,347.97 : 974,232.20 = 312,344.77 : x
  2. Step 2: Convert to fraction form
    649,347.97/974,232.20 = 312,344.77/x
  3. Step 3: Cross multiply
    649,347.97x = 974,232.20 × 312,344.77
  4. Step 4: Simplify right side
    649,347.97x = 304,296,331,436.27
  5. Step 5: Solve for x
    x = 304,296,331,436.27/649,347.97
  6. Step 6: Final answer
    x = 468,618.28

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1.5x scale

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.