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Finding the Fourth Proportional to 462,679.20, 638,498.16 and 258,737.76

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Solution

The fourth proportional to 462,679.20, 638,498.16 and 258,737.76 is: 357,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,679.20 : 638,498.16 = 258,737.76 : x
  2. Step 2: Convert to fraction form
    462,679.20/638,498.16 = 258,737.76/x
  3. Step 3: Cross multiply
    462,679.20x = 638,498.16 × 258,737.76
  4. Step 4: Simplify right side
    462,679.20x = 165,203,583,682.52
  5. Step 5: Solve for x
    x = 165,203,583,682.52/462,679.20
  6. Step 6: Final answer
    x = 357,058.59

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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.