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Finding the Fourth Proportional to 342,139.20, 513,500.40 and 152,890.80

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Solution

The fourth proportional to 342,139.20, 513,500.40 and 152,890.80 is: 229,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,139.20 : 513,500.40 = 152,890.80 : x
  2. Step 2: Convert to fraction form
    342,139.20/513,500.40 = 152,890.80/x
  3. Step 3: Cross multiply
    342,139.20x = 513,500.40 × 152,890.80
  4. Step 4: Simplify right side
    342,139.20x = 78,509,486,956.32
  5. Step 5: Solve for x
    x = 78,509,486,956.32/342,139.20
  6. Step 6: Final answer
    x = 229,466.51

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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.