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Finding the Fourth Proportional to 705,002.26, 972,919.56 and 418,523.44

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Solution

The fourth proportional to 705,002.26, 972,919.56 and 418,523.44 is: 577,572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,002.26 : 972,919.56 = 418,523.44 : x
  2. Step 2: Convert to fraction form
    705,002.26/972,919.56 = 418,523.44/x
  3. Step 3: Cross multiply
    705,002.26x = 972,919.56 × 418,523.44
  4. Step 4: Simplify right side
    705,002.26x = 407,189,641,094.49
  5. Step 5: Solve for x
    x = 407,189,641,094.49/705,002.26
  6. Step 6: Final answer
    x = 577,572.11

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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.