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Finding the Fourth Proportional to 524,442.60, 723,687.78 and 298,036.20

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Solution

The fourth proportional to 524,442.60, 723,687.78 and 298,036.20 is: 411,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,442.60 : 723,687.78 = 298,036.20 : x
  2. Step 2: Convert to fraction form
    524,442.60/723,687.78 = 298,036.20/x
  3. Step 3: Cross multiply
    524,442.60x = 723,687.78 × 298,036.20
  4. Step 4: Simplify right side
    524,442.60x = 215,685,155,937.64
  5. Step 5: Solve for x
    x = 215,685,155,937.64/524,442.60
  6. Step 6: Final answer
    x = 411,265.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.