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Finding the Fourth Proportional to 398,977.30, 598,465.95 and 162,489.70

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Solution

The fourth proportional to 398,977.30, 598,465.95 and 162,489.70 is: 243,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,977.30 : 598,465.95 = 162,489.70 : x
  2. Step 2: Convert to fraction form
    398,977.30/598,465.95 = 162,489.70/x
  3. Step 3: Cross multiply
    398,977.30x = 598,465.95 × 162,489.70
  4. Step 4: Simplify right side
    398,977.30x = 97,244,552,675.72
  5. Step 5: Solve for x
    x = 97,244,552,675.72/398,977.30
  6. Step 6: Final answer
    x = 243,734.55

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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.