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Finding the Fourth Proportional to 488,717.40, 732,857.40 and 189,098.40

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Solution

The fourth proportional to 488,717.40, 732,857.40 and 189,098.40 is: 283,562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,717.40 : 732,857.40 = 189,098.40 : x
  2. Step 2: Convert to fraction form
    488,717.40/732,857.40 = 189,098.40/x
  3. Step 3: Cross multiply
    488,717.40x = 732,857.40 × 189,098.40
  4. Step 4: Simplify right side
    488,717.40x = 138,582,161,768.16
  5. Step 5: Solve for x
    x = 138,582,161,768.16/488,717.40
  6. Step 6: Final answer
    x = 283,562.98

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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.