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Finding the Fourth Proportional to 401,978.53, 554,731.33 and 220,702.14

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Solution

The fourth proportional to 401,978.53, 554,731.33 and 220,702.14 is: 304,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,978.53 : 554,731.33 = 220,702.14 : x
  2. Step 2: Convert to fraction form
    401,978.53/554,731.33 = 220,702.14/x
  3. Step 3: Cross multiply
    401,978.53x = 554,731.33 × 220,702.14
  4. Step 4: Simplify right side
    401,978.53x = 122,430,388,882.39
  5. Step 5: Solve for x
    x = 122,430,388,882.39/401,978.53
  6. Step 6: Final answer
    x = 304,569.48

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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.