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Finding the Fourth Proportional to 315,034, 472,769.88 and 128,045.68

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Solution

The fourth proportional to 315,034, 472,769.88 and 128,045.68 is: 192,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,034 : 472,769.88 = 128,045.68 : x
  2. Step 2: Convert to fraction form
    315,034/472,769.88 = 128,045.68/x
  3. Step 3: Cross multiply
    315,034x = 472,769.88 × 128,045.68
  4. Step 4: Simplify right side
    315,034x = 60,536,140,768.12
  5. Step 5: Solve for x
    x = 60,536,140,768.12/315,034
  6. Step 6: Final answer
    x = 192,157.48

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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.