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Finding the Fourth Proportional to 371,648.40, 512,866.16 and 216,589.76

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Solution

The fourth proportional to 371,648.40, 512,866.16 and 216,589.76 is: 298,888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,648.40 : 512,866.16 = 216,589.76 : x
  2. Step 2: Convert to fraction form
    371,648.40/512,866.16 = 216,589.76/x
  3. Step 3: Cross multiply
    371,648.40x = 512,866.16 × 216,589.76
  4. Step 4: Simplify right side
    371,648.40x = 111,081,558,506.52
  5. Step 5: Solve for x
    x = 111,081,558,506.52/371,648.40
  6. Step 6: Final answer
    x = 298,888.84

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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.