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Finding the Fourth Proportional to 238,977.20, 358,465.80 and 205,734.80

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Solution

The fourth proportional to 238,977.20, 358,465.80 and 205,734.80 is: 308,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,977.20 : 358,465.80 = 205,734.80 : x
  2. Step 2: Convert to fraction form
    238,977.20/358,465.80 = 205,734.80/x
  3. Step 3: Cross multiply
    238,977.20x = 358,465.80 × 205,734.80
  4. Step 4: Simplify right side
    238,977.20x = 73,748,889,669.84
  5. Step 5: Solve for x
    x = 73,748,889,669.84/238,977.20
  6. Step 6: Final answer
    x = 308,602.20

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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.