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Finding the Fourth Proportional to 314,963.88, 472,641.74 and 127,975.38

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Solution

The fourth proportional to 314,963.88, 472,641.74 and 127,975.38 is: 192,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,963.88 : 472,641.74 = 127,975.38 : x
  2. Step 2: Convert to fraction form
    314,963.88/472,641.74 = 127,975.38/x
  3. Step 3: Cross multiply
    314,963.88x = 472,641.74 × 127,975.38
  4. Step 4: Simplify right side
    314,963.88x = 60,486,506,280.36
  5. Step 5: Solve for x
    x = 60,486,506,280.36/314,963.88
  6. Step 6: Final answer
    x = 192,042.68

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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.