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Finding the Fourth Proportional to 498,455.78, 748,074.29 and 347,715.59

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Solution

The fourth proportional to 498,455.78, 748,074.29 and 347,715.59 is: 521,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,455.78 : 748,074.29 = 347,715.59 : x
  2. Step 2: Convert to fraction form
    498,455.78/748,074.29 = 347,715.59/x
  3. Step 3: Cross multiply
    498,455.78x = 748,074.29 × 347,715.59
  4. Step 4: Simplify right side
    498,455.78x = 260,117,087,632.23
  5. Step 5: Solve for x
    x = 260,117,087,632.23/498,455.78
  6. Step 6: Final answer
    x = 521,845.87

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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.