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Finding the Fourth Proportional to 306,894.60, 460,046.61 and 157,205.39

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Solution

The fourth proportional to 306,894.60, 460,046.61 and 157,205.39 is: 235,656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,894.60 : 460,046.61 = 157,205.39 : x
  2. Step 2: Convert to fraction form
    306,894.60/460,046.61 = 157,205.39/x
  3. Step 3: Cross multiply
    306,894.60x = 460,046.61 × 157,205.39
  4. Step 4: Simplify right side
    306,894.60x = 72,321,804,442.99
  5. Step 5: Solve for x
    x = 72,321,804,442.99/306,894.60
  6. Step 6: Final answer
    x = 235,656.82

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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.