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Finding the Fourth Proportional to 426,126.42, 639,474.75 and 176,808.42

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Solution

The fourth proportional to 426,126.42, 639,474.75 and 176,808.42 is: 265,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,126.42 : 639,474.75 = 176,808.42 : x
  2. Step 2: Convert to fraction form
    426,126.42/639,474.75 = 176,808.42/x
  3. Step 3: Cross multiply
    426,126.42x = 639,474.75 × 176,808.42
  4. Step 4: Simplify right side
    426,126.42x = 113,064,520,177.40
  5. Step 5: Solve for x
    x = 113,064,520,177.40/426,126.42
  6. Step 6: Final answer
    x = 265,330.93

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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.