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Finding the Fourth Proportional to 272,436.60, 409,346.10 and 242,023.80

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Solution

The fourth proportional to 272,436.60, 409,346.10 and 242,023.80 is: 363,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,436.60 : 409,346.10 = 242,023.80 : x
  2. Step 2: Convert to fraction form
    272,436.60/409,346.10 = 242,023.80/x
  3. Step 3: Cross multiply
    272,436.60x = 409,346.10 × 242,023.80
  4. Step 4: Simplify right side
    272,436.60x = 99,071,498,637.18
  5. Step 5: Solve for x
    x = 99,071,498,637.18/272,436.60
  6. Step 6: Final answer
    x = 363,649.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.