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Finding the Fourth Proportional to 661,083.50, 991,695.72 and 211,643.66

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Solution

The fourth proportional to 661,083.50, 991,695.72 and 211,643.66 is: 317,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,083.50 : 991,695.72 = 211,643.66 : x
  2. Step 2: Convert to fraction form
    661,083.50/991,695.72 = 211,643.66/x
  3. Step 3: Cross multiply
    661,083.50x = 991,695.72 × 211,643.66
  4. Step 4: Simplify right side
    661,083.50x = 209,886,111,787.14
  5. Step 5: Solve for x
    x = 209,886,111,787.14/661,083.50
  6. Step 6: Final answer
    x = 317,488.05

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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.