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Finding the Fourth Proportional to 442,866.80, 664,300.20 and 402,777.20

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Solution

The fourth proportional to 442,866.80, 664,300.20 and 402,777.20 is: 604,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,866.80 : 664,300.20 = 402,777.20 : x
  2. Step 2: Convert to fraction form
    442,866.80/664,300.20 = 402,777.20/x
  3. Step 3: Cross multiply
    442,866.80x = 664,300.20 × 402,777.20
  4. Step 4: Simplify right side
    442,866.80x = 267,564,974,515.44
  5. Step 5: Solve for x
    x = 267,564,974,515.44/442,866.80
  6. Step 6: Final answer
    x = 604,165.80

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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.