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Finding the Fourth Proportional to 305,897.60, 458,846.40 and 137,498.60

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Solution

The fourth proportional to 305,897.60, 458,846.40 and 137,498.60 is: 206,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,897.60 : 458,846.40 = 137,498.60 : x
  2. Step 2: Convert to fraction form
    305,897.60/458,846.40 = 137,498.60/x
  3. Step 3: Cross multiply
    305,897.60x = 458,846.40 × 137,498.60
  4. Step 4: Simplify right side
    305,897.60x = 63,090,737,615.04
  5. Step 5: Solve for x
    x = 63,090,737,615.04/305,897.60
  6. Step 6: Final answer
    x = 206,247.90

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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.