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Finding the Fourth Proportional to 498,265.95, 747,036.86 and 198,656.67

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Solution

The fourth proportional to 498,265.95, 747,036.86 and 198,656.67 is: 297,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,265.95 : 747,036.86 = 198,656.67 : x
  2. Step 2: Convert to fraction form
    498,265.95/747,036.86 = 198,656.67/x
  3. Step 3: Cross multiply
    498,265.95x = 747,036.86 × 198,656.67
  4. Step 4: Simplify right side
    498,265.95x = 148,403,854,974.86
  5. Step 5: Solve for x
    x = 148,403,854,974.86/498,265.95
  6. Step 6: Final answer
    x = 297,840.65

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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.