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Finding the Fourth Proportional to 540,951.20, 746,331.34 and 311,503.54

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Solution

The fourth proportional to 540,951.20, 746,331.34 and 311,503.54 is: 429,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,951.20 : 746,331.34 = 311,503.54 : x
  2. Step 2: Convert to fraction form
    540,951.20/746,331.34 = 311,503.54/x
  3. Step 3: Cross multiply
    540,951.20x = 746,331.34 × 311,503.54
  4. Step 4: Simplify right side
    540,951.20x = 232,484,854,422.94
  5. Step 5: Solve for x
    x = 232,484,854,422.94/540,951.20
  6. Step 6: Final answer
    x = 429,770.48

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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.