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Finding the Fourth Proportional to 462,343.21, 638,029.68 and 258,402.72

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Solution

The fourth proportional to 462,343.21, 638,029.68 and 258,402.72 is: 356,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,343.21 : 638,029.68 = 258,402.72 : x
  2. Step 2: Convert to fraction form
    462,343.21/638,029.68 = 258,402.72/x
  3. Step 3: Cross multiply
    462,343.21x = 638,029.68 × 258,402.72
  4. Step 4: Simplify right side
    462,343.21x = 164,868,606,176.33
  5. Step 5: Solve for x
    x = 164,868,606,176.33/462,343.21
  6. Step 6: Final answer
    x = 356,593.55

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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.