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Finding the Fourth Proportional to 462,853.72, 638,708.08 and 258,869.34

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Solution

The fourth proportional to 462,853.72, 638,708.08 and 258,869.34 is: 357,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,853.72 : 638,708.08 = 258,869.34 : x
  2. Step 2: Convert to fraction form
    462,853.72/638,708.08 = 258,869.34/x
  3. Step 3: Cross multiply
    462,853.72x = 638,708.08 × 258,869.34
  4. Step 4: Simplify right side
    462,853.72x = 165,341,939,122.27
  5. Step 5: Solve for x
    x = 165,341,939,122.27/462,853.72
  6. Step 6: Final answer
    x = 357,222.88

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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.