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Finding the Fourth Proportional to 698,771.80, 964,339.32 and 392,944.48

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Solution

The fourth proportional to 698,771.80, 964,339.32 and 392,944.48 is: 542,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,771.80 : 964,339.32 = 392,944.48 : x
  2. Step 2: Convert to fraction form
    698,771.80/964,339.32 = 392,944.48/x
  3. Step 3: Cross multiply
    698,771.80x = 964,339.32 × 392,944.48
  4. Step 4: Simplify right side
    698,771.80x = 378,931,812,640.95
  5. Step 5: Solve for x
    x = 378,931,812,640.95/698,771.80
  6. Step 6: Final answer
    x = 542,282.63

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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.