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Finding the Fourth Proportional to 409,746.60, 614,401.20 and 172,821.60

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Solution

The fourth proportional to 409,746.60, 614,401.20 and 172,821.60 is: 259,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,746.60 : 614,401.20 = 172,821.60 : x
  2. Step 2: Convert to fraction form
    409,746.60/614,401.20 = 172,821.60/x
  3. Step 3: Cross multiply
    409,746.60x = 614,401.20 × 172,821.60
  4. Step 4: Simplify right side
    409,746.60x = 106,181,798,425.92
  5. Step 5: Solve for x
    x = 106,181,798,425.92/409,746.60
  6. Step 6: Final answer
    x = 259,140.16

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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.