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Finding the Fourth Proportional to 478,404.60, 717,347.70 and 197,950.20

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Solution

The fourth proportional to 478,404.60, 717,347.70 and 197,950.20 is: 296,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,404.60 : 717,347.70 = 197,950.20 : x
  2. Step 2: Convert to fraction form
    478,404.60/717,347.70 = 197,950.20/x
  3. Step 3: Cross multiply
    478,404.60x = 717,347.70 × 197,950.20
  4. Step 4: Simplify right side
    478,404.60x = 141,999,120,684.54
  5. Step 5: Solve for x
    x = 141,999,120,684.54/478,404.60
  6. Step 6: Final answer
    x = 296,818.05

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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.