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Finding the Fourth Proportional to 314,717.20, 472,272.63 and 127,728.70

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Solution

The fourth proportional to 314,717.20, 472,272.63 and 127,728.70 is: 191,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,717.20 : 472,272.63 = 127,728.70 : x
  2. Step 2: Convert to fraction form
    314,717.20/472,272.63 = 127,728.70/x
  3. Step 3: Cross multiply
    314,717.20x = 472,272.63 × 127,728.70
  4. Step 4: Simplify right side
    314,717.20x = 60,322,769,075.48
  5. Step 5: Solve for x
    x = 60,322,769,075.48/314,717.20
  6. Step 6: Final answer
    x = 191,672.93

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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.