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Finding the Fourth Proportional to 342,709.40, 514,007.40 and 115,002.20

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Solution

The fourth proportional to 342,709.40, 514,007.40 and 115,002.20 is: 172,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,709.40 : 514,007.40 = 115,002.20 : x
  2. Step 2: Convert to fraction form
    342,709.40/514,007.40 = 115,002.20/x
  3. Step 3: Cross multiply
    342,709.40x = 514,007.40 × 115,002.20
  4. Step 4: Simplify right side
    342,709.40x = 59,111,981,816.28
  5. Step 5: Solve for x
    x = 59,111,981,816.28/342,709.40
  6. Step 6: Final answer
    x = 172,484.27

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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.