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Finding the Fourth Proportional to 478,086, 659,758.68 and 266,118

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Solution

The fourth proportional to 478,086, 659,758.68 and 266,118 is: 367,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,086 : 659,758.68 = 266,118 : x
  2. Step 2: Convert to fraction form
    478,086/659,758.68 = 266,118/x
  3. Step 3: Cross multiply
    478,086x = 659,758.68 × 266,118
  4. Step 4: Simplify right side
    478,086x = 175,573,660,404.24
  5. Step 5: Solve for x
    x = 175,573,660,404.24/478,086
  6. Step 6: Final answer
    x = 367,242.84

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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.