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Finding the Fourth Proportional to 312,867.36, 469,440.54 and 144,297

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Solution

The fourth proportional to 312,867.36, 469,440.54 and 144,297 is: 216,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,867.36 : 469,440.54 = 144,297 : x
  2. Step 2: Convert to fraction form
    312,867.36/469,440.54 = 144,297/x
  3. Step 3: Cross multiply
    312,867.36x = 469,440.54 × 144,297
  4. Step 4: Simplify right side
    312,867.36x = 67,738,861,600.38
  5. Step 5: Solve for x
    x = 67,738,861,600.38/312,867.36
  6. Step 6: Final answer
    x = 216,509.84

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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.