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Finding the Fourth Proportional to 342,182.65, 512,913.12 and 142,301.83

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Solution

The fourth proportional to 342,182.65, 512,913.12 and 142,301.83 is: 213,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,182.65 : 512,913.12 = 142,301.83 : x
  2. Step 2: Convert to fraction form
    342,182.65/512,913.12 = 142,301.83/x
  3. Step 3: Cross multiply
    342,182.65x = 512,913.12 × 142,301.83
  4. Step 4: Simplify right side
    342,182.65x = 72,988,475,607.01
  5. Step 5: Solve for x
    x = 72,988,475,607.01/342,182.65
  6. Step 6: Final answer
    x = 213,302.68

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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.