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Finding the Fourth Proportional to 462,334.40, 638,019.28 and 258,385.11

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Solution

The fourth proportional to 462,334.40, 638,019.28 and 258,385.11 is: 356,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,334.40 : 638,019.28 = 258,385.11 : x
  2. Step 2: Convert to fraction form
    462,334.40/638,019.28 = 258,385.11/x
  3. Step 3: Cross multiply
    462,334.40x = 638,019.28 × 258,385.11
  4. Step 4: Simplify right side
    462,334.40x = 164,854,679,775.33
  5. Step 5: Solve for x
    x = 164,854,679,775.33/462,334.40
  6. Step 6: Final answer
    x = 356,570.22

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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.