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Finding the Fourth Proportional to 342,493.80, 513,740.70 and 155,505.30

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Solution

The fourth proportional to 342,493.80, 513,740.70 and 155,505.30 is: 233,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,493.80 : 513,740.70 = 155,505.30 : x
  2. Step 2: Convert to fraction form
    342,493.80/513,740.70 = 155,505.30/x
  3. Step 3: Cross multiply
    342,493.80x = 513,740.70 × 155,505.30
  4. Step 4: Simplify right side
    342,493.80x = 79,889,401,675.71
  5. Step 5: Solve for x
    x = 79,889,401,675.71/342,493.80
  6. Step 6: Final answer
    x = 233,257.95

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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.