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Finding the Fourth Proportional to 478,514.40, 717,363.90 and 212,129.70

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Solution

The fourth proportional to 478,514.40, 717,363.90 and 212,129.70 is: 318,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,514.40 : 717,363.90 = 212,129.70 : x
  2. Step 2: Convert to fraction form
    478,514.40/717,363.90 = 212,129.70/x
  3. Step 3: Cross multiply
    478,514.40x = 717,363.90 × 212,129.70
  4. Step 4: Simplify right side
    478,514.40x = 152,174,188,897.83
  5. Step 5: Solve for x
    x = 152,174,188,897.83/478,514.40
  6. Step 6: Final answer
    x = 318,013.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.