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Finding the Fourth Proportional to 470,149.60, 705,613.20 and 217,818.40

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Solution

The fourth proportional to 470,149.60, 705,613.20 and 217,818.40 is: 326,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,149.60 : 705,613.20 = 217,818.40 : x
  2. Step 2: Convert to fraction form
    470,149.60/705,613.20 = 217,818.40/x
  3. Step 3: Cross multiply
    470,149.60x = 705,613.20 × 217,818.40
  4. Step 4: Simplify right side
    470,149.60x = 153,695,538,242.88
  5. Step 5: Solve for x
    x = 153,695,538,242.88/470,149.60
  6. Step 6: Final answer
    x = 326,907.73

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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.