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Finding the Fourth Proportional to 198,438.93, 297,695.32 and 65,328.55

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Solution

The fourth proportional to 198,438.93, 297,695.32 and 65,328.55 is: 98,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,438.93 : 297,695.32 = 65,328.55 : x
  2. Step 2: Convert to fraction form
    198,438.93/297,695.32 = 65,328.55/x
  3. Step 3: Cross multiply
    198,438.93x = 297,695.32 × 65,328.55
  4. Step 4: Simplify right side
    198,438.93x = 19,448,002,689.83
  5. Step 5: Solve for x
    x = 19,448,002,689.83/198,438.93
  6. Step 6: Final answer
    x = 98,004.98

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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.