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Finding the Fourth Proportional to 305,781.60, 458,672.40 and 258,542.40

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Solution

The fourth proportional to 305,781.60, 458,672.40 and 258,542.40 is: 387,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,781.60 : 458,672.40 = 258,542.40 : x
  2. Step 2: Convert to fraction form
    305,781.60/458,672.40 = 258,542.40/x
  3. Step 3: Cross multiply
    305,781.60x = 458,672.40 × 258,542.40
  4. Step 4: Simplify right side
    305,781.60x = 118,586,263,109.76
  5. Step 5: Solve for x
    x = 118,586,263,109.76/305,781.60
  6. Step 6: Final answer
    x = 387,813.60

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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.