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Finding the Fourth Proportional to 478,103.60, 717,279.50 and 211,800.81

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Solution

The fourth proportional to 478,103.60, 717,279.50 and 211,800.81 is: 317,756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,103.60 : 717,279.50 = 211,800.81 : x
  2. Step 2: Convert to fraction form
    478,103.60/717,279.50 = 211,800.81/x
  3. Step 3: Cross multiply
    478,103.60x = 717,279.50 × 211,800.81
  4. Step 4: Simplify right side
    478,103.60x = 151,920,381,307.02
  5. Step 5: Solve for x
    x = 151,920,381,307.02/478,103.60
  6. Step 6: Final answer
    x = 317,756.20

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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.