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Finding the Fourth Proportional to 217,746.78, 300,482.85 and 122,257.50

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Solution

The fourth proportional to 217,746.78, 300,482.85 and 122,257.50 is: 168,711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,746.78 : 300,482.85 = 122,257.50 : x
  2. Step 2: Convert to fraction form
    217,746.78/300,482.85 = 122,257.50/x
  3. Step 3: Cross multiply
    217,746.78x = 300,482.85 × 122,257.50
  4. Step 4: Simplify right side
    217,746.78x = 36,736,282,033.88
  5. Step 5: Solve for x
    x = 36,736,282,033.88/217,746.78
  6. Step 6: Final answer
    x = 168,711.02

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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.