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Finding the Fourth Proportional to 442,852.70, 664,279.05 and 265,559.90

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Solution

The fourth proportional to 442,852.70, 664,279.05 and 265,559.90 is: 398,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,852.70 : 664,279.05 = 265,559.90 : x
  2. Step 2: Convert to fraction form
    442,852.70/664,279.05 = 265,559.90/x
  3. Step 3: Cross multiply
    442,852.70x = 664,279.05 × 265,559.90
  4. Step 4: Simplify right side
    442,852.70x = 176,405,878,090.10
  5. Step 5: Solve for x
    x = 176,405,878,090.10/442,852.70
  6. Step 6: Final answer
    x = 398,339.85

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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.