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Finding the Fourth Proportional to 342,387, 513,582.12 and 120,771

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Solution

The fourth proportional to 342,387, 513,582.12 and 120,771 is: 181,157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,387 : 513,582.12 = 120,771 : x
  2. Step 2: Convert to fraction form
    342,387/513,582.12 = 120,771/x
  3. Step 3: Cross multiply
    342,387x = 513,582.12 × 120,771
  4. Step 4: Simplify right side
    342,387x = 62,025,826,214.52
  5. Step 5: Solve for x
    x = 62,025,826,214.52/342,387
  6. Step 6: Final answer
    x = 181,157.07

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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.