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Finding the Fourth Proportional to 343,701.30, 515,114.55 and 306,084.90

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Solution

The fourth proportional to 343,701.30, 515,114.55 and 306,084.90 is: 458,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,701.30 : 515,114.55 = 306,084.90 : x
  2. Step 2: Convert to fraction form
    343,701.30/515,114.55 = 306,084.90/x
  3. Step 3: Cross multiply
    343,701.30x = 515,114.55 × 306,084.90
  4. Step 4: Simplify right side
    343,701.30x = 157,668,785,525.30
  5. Step 5: Solve for x
    x = 157,668,785,525.30/343,701.30
  6. Step 6: Final answer
    x = 458,737.82

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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.