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Finding the Fourth Proportional to 342,695.20, 514,046.64 and 143,045.92

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Solution

The fourth proportional to 342,695.20, 514,046.64 and 143,045.92 is: 214,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,695.20 : 514,046.64 = 143,045.92 : x
  2. Step 2: Convert to fraction form
    342,695.20/514,046.64 = 143,045.92/x
  3. Step 3: Cross multiply
    342,695.20x = 514,046.64 × 143,045.92
  4. Step 4: Simplify right side
    342,695.20x = 73,532,274,541.71
  5. Step 5: Solve for x
    x = 73,532,274,541.71/342,695.20
  6. Step 6: Final answer
    x = 214,570.48

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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.