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Finding the Fourth Proportional to 653,313, 979,969.50 and 210,081

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Solution

The fourth proportional to 653,313, 979,969.50 and 210,081 is: 315,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,313 : 979,969.50 = 210,081 : x
  2. Step 2: Convert to fraction form
    653,313/979,969.50 = 210,081/x
  3. Step 3: Cross multiply
    653,313x = 979,969.50 × 210,081
  4. Step 4: Simplify right side
    653,313x = 205,872,972,529.50
  5. Step 5: Solve for x
    x = 205,872,972,529.50/653,313
  6. Step 6: Final answer
    x = 315,121.50

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1.5x scale

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.