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Finding the Fourth Proportional to 488,721.20, 732,851.74 and 189,341.96

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Solution

The fourth proportional to 488,721.20, 732,851.74 and 189,341.96 is: 283,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,721.20 : 732,851.74 = 189,341.96 : x
  2. Step 2: Convert to fraction form
    488,721.20/732,851.74 = 189,341.96/x
  3. Step 3: Cross multiply
    488,721.20x = 732,851.74 × 189,341.96
  4. Step 4: Simplify right side
    488,721.20x = 138,759,584,841.01
  5. Step 5: Solve for x
    x = 138,759,584,841.01/488,721.20
  6. Step 6: Final answer
    x = 283,923.81

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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.