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Finding the Fourth Proportional to 661,113.57, 991,693.71 and 211,776.06

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Solution

The fourth proportional to 661,113.57, 991,693.71 and 211,776.06 is: 317,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,113.57 : 991,693.71 = 211,776.06 : x
  2. Step 2: Convert to fraction form
    661,113.57/991,693.71 = 211,776.06/x
  3. Step 3: Cross multiply
    661,113.57x = 991,693.71 × 211,776.06
  4. Step 4: Simplify right side
    661,113.57x = 210,016,986,630.58
  5. Step 5: Solve for x
    x = 210,016,986,630.58/661,113.57
  6. Step 6: Final answer
    x = 317,671.57

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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.