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Finding the Fourth Proportional to 442,801.80, 663,218.55 and 342,637.20

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Solution

The fourth proportional to 442,801.80, 663,218.55 and 342,637.20 is: 513,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,801.80 : 663,218.55 = 342,637.20 : x
  2. Step 2: Convert to fraction form
    442,801.80/663,218.55 = 342,637.20/x
  3. Step 3: Cross multiply
    442,801.80x = 663,218.55 × 342,637.20
  4. Step 4: Simplify right side
    442,801.80x = 227,243,346,960.06
  5. Step 5: Solve for x
    x = 227,243,346,960.06/442,801.80
  6. Step 6: Final answer
    x = 513,194.27

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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.