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Finding the Fourth Proportional to 304,730.32, 420,671.48 and 202,925.20

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Solution

The fourth proportional to 304,730.32, 420,671.48 and 202,925.20 is: 280,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,730.32 : 420,671.48 = 202,925.20 : x
  2. Step 2: Convert to fraction form
    304,730.32/420,671.48 = 202,925.20/x
  3. Step 3: Cross multiply
    304,730.32x = 420,671.48 × 202,925.20
  4. Step 4: Simplify right side
    304,730.32x = 85,364,844,213.30
  5. Step 5: Solve for x
    x = 85,364,844,213.30/304,730.32
  6. Step 6: Final answer
    x = 280,132.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.