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Finding the Fourth Proportional to 305,419.25, 455,648.95 and 288,885.53

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Solution

The fourth proportional to 305,419.25, 455,648.95 and 288,885.53 is: 430,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,419.25 : 455,648.95 = 288,885.53 : x
  2. Step 2: Convert to fraction form
    305,419.25/455,648.95 = 288,885.53/x
  3. Step 3: Cross multiply
    305,419.25x = 455,648.95 × 288,885.53
  4. Step 4: Simplify right side
    305,419.25x = 131,630,388,414.69
  5. Step 5: Solve for x
    x = 131,630,388,414.69/305,419.25
  6. Step 6: Final answer
    x = 430,982.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.