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Finding the Fourth Proportional to 343,990.80, 514,819.80 and 302,000.40

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Solution

The fourth proportional to 343,990.80, 514,819.80 and 302,000.40 is: 451,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,990.80 : 514,819.80 = 302,000.40 : x
  2. Step 2: Convert to fraction form
    343,990.80/514,819.80 = 302,000.40/x
  3. Step 3: Cross multiply
    343,990.80x = 514,819.80 × 302,000.40
  4. Step 4: Simplify right side
    343,990.80x = 155,475,785,527.92
  5. Step 5: Solve for x
    x = 155,475,785,527.92/343,990.80
  6. Step 6: Final answer
    x = 451,976.58

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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.