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Finding the Fourth Proportional to 315,353.86, 472,620.07 and 128,146.50

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Solution

The fourth proportional to 315,353.86, 472,620.07 and 128,146.50 is: 192,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,353.86 : 472,620.07 = 128,146.50 : x
  2. Step 2: Convert to fraction form
    315,353.86/472,620.07 = 128,146.50/x
  3. Step 3: Cross multiply
    315,353.86x = 472,620.07 × 128,146.50
  4. Step 4: Simplify right side
    315,353.86x = 60,564,607,800.26
  5. Step 5: Solve for x
    x = 60,564,607,800.26/315,353.86
  6. Step 6: Final answer
    x = 192,052.85

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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.