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Finding the Fourth Proportional to 315,801.60, 473,971.20 and 128,947.20

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Solution

The fourth proportional to 315,801.60, 473,971.20 and 128,947.20 is: 193,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,801.60 : 473,971.20 = 128,947.20 : x
  2. Step 2: Convert to fraction form
    315,801.60/473,971.20 = 128,947.20/x
  3. Step 3: Cross multiply
    315,801.60x = 473,971.20 × 128,947.20
  4. Step 4: Simplify right side
    315,801.60x = 61,117,259,120.64
  5. Step 5: Solve for x
    x = 61,117,259,120.64/315,801.60
  6. Step 6: Final answer
    x = 193,530.56

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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.