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Finding the Fourth Proportional to 442,114.32, 662,699.28 and 252,165.64

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Solution

The fourth proportional to 442,114.32, 662,699.28 and 252,165.64 is: 377,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,114.32 : 662,699.28 = 252,165.64 : x
  2. Step 2: Convert to fraction form
    442,114.32/662,699.28 = 252,165.64/x
  3. Step 3: Cross multiply
    442,114.32x = 662,699.28 × 252,165.64
  4. Step 4: Simplify right side
    442,114.32x = 167,109,988,068.74
  5. Step 5: Solve for x
    x = 167,109,988,068.74/442,114.32
  6. Step 6: Final answer
    x = 377,979.13

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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.