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Finding the Fourth Proportional to 413,231.60, 618,810.60 and 272,226.80

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Solution

The fourth proportional to 413,231.60, 618,810.60 and 272,226.80 is: 407,657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,231.60 : 618,810.60 = 272,226.80 : x
  2. Step 2: Convert to fraction form
    413,231.60/618,810.60 = 272,226.80/x
  3. Step 3: Cross multiply
    413,231.60x = 618,810.60 × 272,226.80
  4. Step 4: Simplify right side
    413,231.60x = 168,456,829,444.08
  5. Step 5: Solve for x
    x = 168,456,829,444.08/413,231.60
  6. Step 6: Final answer
    x = 407,657.18

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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.