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Finding the Fourth Proportional to 314,989.85, 472,485.13 and 78,332.53

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Solution

The fourth proportional to 314,989.85, 472,485.13 and 78,332.53 is: 117,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,989.85 : 472,485.13 = 78,332.53 : x
  2. Step 2: Convert to fraction form
    314,989.85/472,485.13 = 78,332.53/x
  3. Step 3: Cross multiply
    314,989.85x = 472,485.13 × 78,332.53
  4. Step 4: Simplify right side
    314,989.85x = 37,010,955,620.28
  5. Step 5: Solve for x
    x = 37,010,955,620.28/314,989.85
  6. Step 6: Final answer
    x = 117,498.88

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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.