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Finding the Fourth Proportional to 314,934.40, 472,259.44 and 90,243.44

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Solution

The fourth proportional to 314,934.40, 472,259.44 and 90,243.44 is: 135,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,934.40 : 472,259.44 = 90,243.44 : x
  2. Step 2: Convert to fraction form
    314,934.40/472,259.44 = 90,243.44/x
  3. Step 3: Cross multiply
    314,934.40x = 472,259.44 × 90,243.44
  4. Step 4: Simplify right side
    314,934.40x = 42,618,316,438.07
  5. Step 5: Solve for x
    x = 42,618,316,438.07/314,934.40
  6. Step 6: Final answer
    x = 135,324.42

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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.