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Finding the Fourth Proportional to 361,454.32, 498,809.84 and 200,312

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Solution

The fourth proportional to 361,454.32, 498,809.84 and 200,312 is: 276,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,454.32 : 498,809.84 = 200,312 : x
  2. Step 2: Convert to fraction form
    361,454.32/498,809.84 = 200,312/x
  3. Step 3: Cross multiply
    361,454.32x = 498,809.84 × 200,312
  4. Step 4: Simplify right side
    361,454.32x = 99,917,596,670.08
  5. Step 5: Solve for x
    x = 99,917,596,670.08/361,454.32
  6. Step 6: Final answer
    x = 276,432.16

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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.