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Finding the Fourth Proportional to 342,006.20, 513,009.30 and 230,031.80

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Solution

The fourth proportional to 342,006.20, 513,009.30 and 230,031.80 is: 345,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,006.20 : 513,009.30 = 230,031.80 : x
  2. Step 2: Convert to fraction form
    342,006.20/513,009.30 = 230,031.80/x
  3. Step 3: Cross multiply
    342,006.20x = 513,009.30 × 230,031.80
  4. Step 4: Simplify right side
    342,006.20x = 118,008,452,695.74
  5. Step 5: Solve for x
    x = 118,008,452,695.74/342,006.20
  6. Step 6: Final answer
    x = 345,047.70

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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.