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Finding the Fourth Proportional to 342,421.80, 513,632.70 and 155,433.30

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Solution

The fourth proportional to 342,421.80, 513,632.70 and 155,433.30 is: 233,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,421.80 : 513,632.70 = 155,433.30 : x
  2. Step 2: Convert to fraction form
    342,421.80/513,632.70 = 155,433.30/x
  3. Step 3: Cross multiply
    342,421.80x = 513,632.70 × 155,433.30
  4. Step 4: Simplify right side
    342,421.80x = 79,835,625,548.91
  5. Step 5: Solve for x
    x = 79,835,625,548.91/342,421.80
  6. Step 6: Final answer
    x = 233,149.95

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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.