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Finding the Fourth Proportional to 431,970.60, 647,912.12 and 116,459.40

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Solution

The fourth proportional to 431,970.60, 647,912.12 and 116,459.40 is: 174,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,970.60 : 647,912.12 = 116,459.40 : x
  2. Step 2: Convert to fraction form
    431,970.60/647,912.12 = 116,459.40/x
  3. Step 3: Cross multiply
    431,970.60x = 647,912.12 × 116,459.40
  4. Step 4: Simplify right side
    431,970.60x = 75,455,456,747.93
  5. Step 5: Solve for x
    x = 75,455,456,747.93/431,970.60
  6. Step 6: Final answer
    x = 174,677.30

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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.