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Finding the Fourth Proportional to 426,142.92, 639,499.74 and 176,825.16

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Solution

The fourth proportional to 426,142.92, 639,499.74 and 176,825.16 is: 265,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,142.92 : 639,499.74 = 176,825.16 : x
  2. Step 2: Convert to fraction form
    426,142.92/639,499.74 = 176,825.16/x
  3. Step 3: Cross multiply
    426,142.92x = 639,499.74 × 176,825.16
  4. Step 4: Simplify right side
    426,142.92x = 113,079,643,845.46
  5. Step 5: Solve for x
    x = 113,079,643,845.46/426,142.92
  6. Step 6: Final answer
    x = 265,356.15

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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.