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Finding the Fourth Proportional to 409,629.60, 614,530.80 and 172,850.40

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Solution

The fourth proportional to 409,629.60, 614,530.80 and 172,850.40 is: 259,312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,629.60 : 614,530.80 = 172,850.40 : x
  2. Step 2: Convert to fraction form
    409,629.60/614,530.80 = 172,850.40/x
  3. Step 3: Cross multiply
    409,629.60x = 614,530.80 × 172,850.40
  4. Step 4: Simplify right side
    409,629.60x = 106,221,894,592.32
  5. Step 5: Solve for x
    x = 106,221,894,592.32/409,629.60
  6. Step 6: Final answer
    x = 259,312.06

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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.