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Finding the Fourth Proportional to 409,287.60, 613,712.70 and 172,362.60

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Solution

The fourth proportional to 409,287.60, 613,712.70 and 172,362.60 is: 258,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,287.60 : 613,712.70 = 172,362.60 : x
  2. Step 2: Convert to fraction form
    409,287.60/613,712.70 = 172,362.60/x
  3. Step 3: Cross multiply
    409,287.60x = 613,712.70 × 172,362.60
  4. Step 4: Simplify right side
    409,287.60x = 105,781,116,625.02
  5. Step 5: Solve for x
    x = 105,781,116,625.02/409,287.60
  6. Step 6: Final answer
    x = 258,451.80

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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.