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Finding the Fourth Proportional to 407,809.80, 611,714.70 and 295,252.20

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Solution

The fourth proportional to 407,809.80, 611,714.70 and 295,252.20 is: 442,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,809.80 : 611,714.70 = 295,252.20 : x
  2. Step 2: Convert to fraction form
    407,809.80/611,714.70 = 295,252.20/x
  3. Step 3: Cross multiply
    407,809.80x = 611,714.70 × 295,252.20
  4. Step 4: Simplify right side
    407,809.80x = 180,610,110,947.34
  5. Step 5: Solve for x
    x = 180,610,110,947.34/407,809.80
  6. Step 6: Final answer
    x = 442,878.30

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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.