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Finding the Fourth Proportional to 342,137.40, 513,206.10 and 155,148.90

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Solution

The fourth proportional to 342,137.40, 513,206.10 and 155,148.90 is: 232,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,137.40 : 513,206.10 = 155,148.90 : x
  2. Step 2: Convert to fraction form
    342,137.40/513,206.10 = 155,148.90/x
  3. Step 3: Cross multiply
    342,137.40x = 513,206.10 × 155,148.90
  4. Step 4: Simplify right side
    342,137.40x = 79,623,361,888.29
  5. Step 5: Solve for x
    x = 79,623,361,888.29/342,137.40
  6. Step 6: Final answer
    x = 232,723.35

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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.