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Finding the Fourth Proportional to 475,509.42, 656,270.28 and 294,279.78

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Solution

The fourth proportional to 475,509.42, 656,270.28 and 294,279.78 is: 406,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,509.42 : 656,270.28 = 294,279.78 : x
  2. Step 2: Convert to fraction form
    475,509.42/656,270.28 = 294,279.78/x
  3. Step 3: Cross multiply
    475,509.42x = 656,270.28 × 294,279.78
  4. Step 4: Simplify right side
    475,509.42x = 193,127,073,618.94
  5. Step 5: Solve for x
    x = 193,127,073,618.94/475,509.42
  6. Step 6: Final answer
    x = 406,147.73

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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.