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Finding the Fourth Proportional to 313,676.64, 472,878.35 and 293,381.28

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Solution

The fourth proportional to 313,676.64, 472,878.35 and 293,381.28 is: 442,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,676.64 : 472,878.35 = 293,381.28 : x
  2. Step 2: Convert to fraction form
    313,676.64/472,878.35 = 293,381.28/x
  3. Step 3: Cross multiply
    313,676.64x = 472,878.35 × 293,381.28
  4. Step 4: Simplify right side
    313,676.64x = 138,733,654,140.38
  5. Step 5: Solve for x
    x = 138,733,654,140.38/313,676.64
  6. Step 6: Final answer
    x = 442,282.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.