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Finding the Fourth Proportional to 343,205.40, 514,281.78 and 155,998.20

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Solution

The fourth proportional to 343,205.40, 514,281.78 and 155,998.20 is: 233,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,205.40 : 514,281.78 = 155,998.20 : x
  2. Step 2: Convert to fraction form
    343,205.40/514,281.78 = 155,998.20/x
  3. Step 3: Cross multiply
    343,205.40x = 514,281.78 × 155,998.20
  4. Step 4: Simplify right side
    343,205.40x = 80,227,031,972.80
  5. Step 5: Solve for x
    x = 80,227,031,972.80/343,205.40
  6. Step 6: Final answer
    x = 233,758.07

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1.5x scale

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.