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Finding the Fourth Proportional to 262,212.84, 393,319.62 and 112,356

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Solution

The fourth proportional to 262,212.84, 393,319.62 and 112,356 is: 168,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,212.84 : 393,319.62 = 112,356 : x
  2. Step 2: Convert to fraction form
    262,212.84/393,319.62 = 112,356/x
  3. Step 3: Cross multiply
    262,212.84x = 393,319.62 × 112,356
  4. Step 4: Simplify right side
    262,212.84x = 44,191,819,224.72
  5. Step 5: Solve for x
    x = 44,191,819,224.72/262,212.84
  6. Step 6: Final answer
    x = 168,534.15

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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.