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Finding the Fourth Proportional to 342,825.28, 514,569.61 and 165,457.16

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Solution

The fourth proportional to 342,825.28, 514,569.61 and 165,457.16 is: 248,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,825.28 : 514,569.61 = 165,457.16 : x
  2. Step 2: Convert to fraction form
    342,825.28/514,569.61 = 165,457.16/x
  3. Step 3: Cross multiply
    342,825.28x = 514,569.61 × 165,457.16
  4. Step 4: Simplify right side
    342,825.28x = 85,139,226,292.91
  5. Step 5: Solve for x
    x = 85,139,226,292.91/342,825.28
  6. Step 6: Final answer
    x = 248,345.82

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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.