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Finding the Fourth Proportional to 314,722.98, 472,281.24 and 127,734.48

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Solution

The fourth proportional to 314,722.98, 472,281.24 and 127,734.48 is: 191,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,722.98 : 472,281.24 = 127,734.48 : x
  2. Step 2: Convert to fraction form
    314,722.98/472,281.24 = 127,734.48/x
  3. Step 3: Cross multiply
    314,722.98x = 472,281.24 × 127,734.48
  4. Step 4: Simplify right side
    314,722.98x = 60,326,598,605.16
  5. Step 5: Solve for x
    x = 60,326,598,605.16/314,722.98
  6. Step 6: Final answer
    x = 191,681.58

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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.