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Finding the Fourth Proportional to 342,718.87, 514,125.69 and 142,992.92

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Solution

The fourth proportional to 342,718.87, 514,125.69 and 142,992.92 is: 214,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,718.87 : 514,125.69 = 142,992.92 : x
  2. Step 2: Convert to fraction form
    342,718.87/514,125.69 = 142,992.92/x
  3. Step 3: Cross multiply
    342,718.87x = 514,125.69 × 142,992.92
  4. Step 4: Simplify right side
    342,718.87x = 73,516,333,660.11
  5. Step 5: Solve for x
    x = 73,516,333,660.11/342,718.87
  6. Step 6: Final answer
    x = 214,509.15

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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.