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Finding the Fourth Proportional to 407,637.60, 611,456.40 and 274,927.20

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Solution

The fourth proportional to 407,637.60, 611,456.40 and 274,927.20 is: 412,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,637.60 : 611,456.40 = 274,927.20 : x
  2. Step 2: Convert to fraction form
    407,637.60/611,456.40 = 274,927.20/x
  3. Step 3: Cross multiply
    407,637.60x = 611,456.40 × 274,927.20
  4. Step 4: Simplify right side
    407,637.60x = 168,105,995,974.08
  5. Step 5: Solve for x
    x = 168,105,995,974.08/407,637.60
  6. Step 6: Final answer
    x = 412,390.80

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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.