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Finding the Fourth Proportional to 426,146.42, 639,505 and 176,828.66

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Solution

The fourth proportional to 426,146.42, 639,505 and 176,828.66 is: 265,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,146.42 : 639,505 = 176,828.66 : x
  2. Step 2: Convert to fraction form
    426,146.42/639,505 = 176,828.66/x
  3. Step 3: Cross multiply
    426,146.42x = 639,505 × 176,828.66
  4. Step 4: Simplify right side
    426,146.42x = 113,082,812,213.30
  5. Step 5: Solve for x
    x = 113,082,812,213.30/426,146.42
  6. Step 6: Final answer
    x = 265,361.40

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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.