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Finding the Fourth Proportional to 315,894.60, 473,438.70 and 128,694.60

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Solution

The fourth proportional to 315,894.60, 473,438.70 and 128,694.60 is: 192,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,894.60 : 473,438.70 = 128,694.60 : x
  2. Step 2: Convert to fraction form
    315,894.60/473,438.70 = 128,694.60/x
  3. Step 3: Cross multiply
    315,894.60x = 473,438.70 × 128,694.60
  4. Step 4: Simplify right side
    315,894.60x = 60,929,004,121.02
  5. Step 5: Solve for x
    x = 60,929,004,121.02/315,894.60
  6. Step 6: Final answer
    x = 192,877.64

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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.