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Finding the Fourth Proportional to 342,230.34, 513,433 and 142,484.34

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Solution

The fourth proportional to 342,230.34, 513,433 and 142,484.34 is: 213,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,230.34 : 513,433 = 142,484.34 : x
  2. Step 2: Convert to fraction form
    342,230.34/513,433 = 142,484.34/x
  3. Step 3: Cross multiply
    342,230.34x = 513,433 × 142,484.34
  4. Step 4: Simplify right side
    342,230.34x = 73,156,162,139.22
  5. Step 5: Solve for x
    x = 73,156,162,139.22/342,230.34
  6. Step 6: Final answer
    x = 213,762.94

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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.