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Finding the Fourth Proportional to 306,390.72, 422,810.24 and 185,603.52

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Solution

The fourth proportional to 306,390.72, 422,810.24 and 185,603.52 is: 256,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,390.72 : 422,810.24 = 185,603.52 : x
  2. Step 2: Convert to fraction form
    306,390.72/422,810.24 = 185,603.52/x
  3. Step 3: Cross multiply
    306,390.72x = 422,810.24 × 185,603.52
  4. Step 4: Simplify right side
    306,390.72x = 78,475,068,836.04
  5. Step 5: Solve for x
    x = 78,475,068,836.04/306,390.72
  6. Step 6: Final answer
    x = 256,127.43

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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.