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Finding the Fourth Proportional to 314,925.98, 472,386.80 and 78,268.28

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Solution

The fourth proportional to 314,925.98, 472,386.80 and 78,268.28 is: 117,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,925.98 : 472,386.80 = 78,268.28 : x
  2. Step 2: Convert to fraction form
    314,925.98/472,386.80 = 78,268.28/x
  3. Step 3: Cross multiply
    314,925.98x = 472,386.80 × 78,268.28
  4. Step 4: Simplify right side
    314,925.98x = 36,972,900,164.44
  5. Step 5: Solve for x
    x = 36,972,900,164.44/314,925.98
  6. Step 6: Final answer
    x = 117,401.88

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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.