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Finding the Fourth Proportional to 442,893.60, 664,340.40 and 293,302.80

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Solution

The fourth proportional to 442,893.60, 664,340.40 and 293,302.80 is: 439,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,893.60 : 664,340.40 = 293,302.80 : x
  2. Step 2: Convert to fraction form
    442,893.60/664,340.40 = 293,302.80/x
  3. Step 3: Cross multiply
    442,893.60x = 664,340.40 × 293,302.80
  4. Step 4: Simplify right side
    442,893.60x = 194,852,899,473.12
  5. Step 5: Solve for x
    x = 194,852,899,473.12/442,893.60
  6. Step 6: Final answer
    x = 439,954.20

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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.