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Finding the Fourth Proportional to 314,895.33, 472,341.24 and 78,237.90

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Solution

The fourth proportional to 314,895.33, 472,341.24 and 78,237.90 is: 117,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,895.33 : 472,341.24 = 78,237.90 : x
  2. Step 2: Convert to fraction form
    314,895.33/472,341.24 = 78,237.90/x
  3. Step 3: Cross multiply
    314,895.33x = 472,341.24 × 78,237.90
  4. Step 4: Simplify right side
    314,895.33x = 36,954,986,701.00
  5. Step 5: Solve for x
    x = 36,954,986,701.00/314,895.33
  6. Step 6: Final answer
    x = 117,356.41

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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.