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Finding the Fourth Proportional to 306,045.60, 458,849.70 and 137,427.90

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Solution

The fourth proportional to 306,045.60, 458,849.70 and 137,427.90 is: 206,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,045.60 : 458,849.70 = 137,427.90 : x
  2. Step 2: Convert to fraction form
    306,045.60/458,849.70 = 137,427.90/x
  3. Step 3: Cross multiply
    306,045.60x = 458,849.70 × 137,427.90
  4. Step 4: Simplify right side
    306,045.60x = 63,058,750,686.63
  5. Step 5: Solve for x
    x = 63,058,750,686.63/306,045.60
  6. Step 6: Final answer
    x = 206,043.64

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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.