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Finding the Fourth Proportional to 472,817.60, 709,291.20 and 157,241.60

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Solution

The fourth proportional to 472,817.60, 709,291.20 and 157,241.60 is: 235,883.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,817.60 : 709,291.20 = 157,241.60 : x
  2. Step 2: Convert to fraction form
    472,817.60/709,291.20 = 157,241.60/x
  3. Step 3: Cross multiply
    472,817.60x = 709,291.20 × 157,241.60
  4. Step 4: Simplify right side
    472,817.60x = 111,530,083,153.92
  5. Step 5: Solve for x
    x = 111,530,083,153.92/472,817.60
  6. Step 6: Final answer
    x = 235,883.95

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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.