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Finding the Fourth Proportional to 344,776.59, 475,807.14 and 287,319.78

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Solution

The fourth proportional to 344,776.59, 475,807.14 and 287,319.78 is: 396,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,776.59 : 475,807.14 = 287,319.78 : x
  2. Step 2: Convert to fraction form
    344,776.59/475,807.14 = 287,319.78/x
  3. Step 3: Cross multiply
    344,776.59x = 475,807.14 × 287,319.78
  4. Step 4: Simplify right side
    344,776.59x = 136,708,802,787.23
  5. Step 5: Solve for x
    x = 136,708,802,787.23/344,776.59
  6. Step 6: Final answer
    x = 396,514.17

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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.