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Finding the Fourth Proportional to 442,865.80, 664,298.70 and 402,776.20

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Solution

The fourth proportional to 442,865.80, 664,298.70 and 402,776.20 is: 604,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,865.80 : 664,298.70 = 402,776.20 : x
  2. Step 2: Convert to fraction form
    442,865.80/664,298.70 = 402,776.20/x
  3. Step 3: Cross multiply
    442,865.80x = 664,298.70 × 402,776.20
  4. Step 4: Simplify right side
    442,865.80x = 267,563,706,050.94
  5. Step 5: Solve for x
    x = 267,563,706,050.94/442,865.80
  6. Step 6: Final answer
    x = 604,164.30

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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.