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Finding the Fourth Proportional to 305,888.40, 458,897.40 and 92,638.80

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Solution

The fourth proportional to 305,888.40, 458,897.40 and 92,638.80 is: 138,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,888.40 : 458,897.40 = 92,638.80 : x
  2. Step 2: Convert to fraction form
    305,888.40/458,897.40 = 92,638.80/x
  3. Step 3: Cross multiply
    305,888.40x = 458,897.40 × 92,638.80
  4. Step 4: Simplify right side
    305,888.40x = 42,511,704,459.12
  5. Step 5: Solve for x
    x = 42,511,704,459.12/305,888.40
  6. Step 6: Final answer
    x = 138,977.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.