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Finding the Fourth Proportional to 315,278.40, 472,917.60 and 128,193.60

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Solution

The fourth proportional to 315,278.40, 472,917.60 and 128,193.60 is: 192,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,278.40 : 472,917.60 = 128,193.60 : x
  2. Step 2: Convert to fraction form
    315,278.40/472,917.60 = 128,193.60/x
  3. Step 3: Cross multiply
    315,278.40x = 472,917.60 × 128,193.60
  4. Step 4: Simplify right side
    315,278.40x = 60,625,009,647.36
  5. Step 5: Solve for x
    x = 60,625,009,647.36/315,278.40
  6. Step 6: Final answer
    x = 192,290.40

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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.