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Finding the Fourth Proportional to 305,784.60, 458,458.20 and 137,166.90

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Solution

The fourth proportional to 305,784.60, 458,458.20 and 137,166.90 is: 205,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,784.60 : 458,458.20 = 137,166.90 : x
  2. Step 2: Convert to fraction form
    305,784.60/458,458.20 = 137,166.90/x
  3. Step 3: Cross multiply
    305,784.60x = 458,458.20 × 137,166.90
  4. Step 4: Simplify right side
    305,784.60x = 62,885,290,073.58
  5. Step 5: Solve for x
    x = 62,885,290,073.58/305,784.60
  6. Step 6: Final answer
    x = 205,652.25

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1.5x scale

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.