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Finding the Fourth Proportional to 488,389.20, 732,756.60 and 471,109.20

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Solution

The fourth proportional to 488,389.20, 732,756.60 and 471,109.20 is: 706,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,389.20 : 732,756.60 = 471,109.20 : x
  2. Step 2: Convert to fraction form
    488,389.20/732,756.60 = 471,109.20/x
  3. Step 3: Cross multiply
    488,389.20x = 732,756.60 × 471,109.20
  4. Step 4: Simplify right side
    488,389.20x = 345,208,375,620.72
  5. Step 5: Solve for x
    x = 345,208,375,620.72/488,389.20
  6. Step 6: Final answer
    x = 706,830.49

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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.