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Finding the Fourth Proportional to 228,225.76, 314,845.40 and 147,679.28

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Solution

The fourth proportional to 228,225.76, 314,845.40 and 147,679.28 is: 203,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,225.76 : 314,845.40 = 147,679.28 : x
  2. Step 2: Convert to fraction form
    228,225.76/314,845.40 = 147,679.28/x
  3. Step 3: Cross multiply
    228,225.76x = 314,845.40 × 147,679.28
  4. Step 4: Simplify right side
    228,225.76x = 46,496,141,983.31
  5. Step 5: Solve for x
    x = 46,496,141,983.31/228,225.76
  6. Step 6: Final answer
    x = 203,728.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.