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Finding the Fourth Proportional to 314,923.90, 472,243.68 and 90,232.93

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Solution

The fourth proportional to 314,923.90, 472,243.68 and 90,232.93 is: 135,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,923.90 : 472,243.68 = 90,232.93 : x
  2. Step 2: Convert to fraction form
    314,923.90/472,243.68 = 90,232.93/x
  3. Step 3: Cross multiply
    314,923.90x = 472,243.68 × 90,232.93
  4. Step 4: Simplify right side
    314,923.90x = 42,611,930,920.38
  5. Step 5: Solve for x
    x = 42,611,930,920.38/314,923.90
  6. Step 6: Final answer
    x = 135,308.66

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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.