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Finding the Fourth Proportional to 205,038.20, 306,866.10 and 188,449.40

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Solution

The fourth proportional to 205,038.20, 306,866.10 and 188,449.40 is: 282,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,038.20 : 306,866.10 = 188,449.40 : x
  2. Step 2: Convert to fraction form
    205,038.20/306,866.10 = 188,449.40/x
  3. Step 3: Cross multiply
    205,038.20x = 306,866.10 × 188,449.40
  4. Step 4: Simplify right side
    205,038.20x = 57,828,732,425.34
  5. Step 5: Solve for x
    x = 57,828,732,425.34/205,038.20
  6. Step 6: Final answer
    x = 282,038.82

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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.