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Finding the Fourth Proportional to 538,809.50, 808,218.30 and 239,209.40

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Solution

The fourth proportional to 538,809.50, 808,218.30 and 239,209.40 is: 358,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,809.50 : 808,218.30 = 239,209.40 : x
  2. Step 2: Convert to fraction form
    538,809.50/808,218.30 = 239,209.40/x
  3. Step 3: Cross multiply
    538,809.50x = 808,218.30 × 239,209.40
  4. Step 4: Simplify right side
    538,809.50x = 193,333,414,612.02
  5. Step 5: Solve for x
    x = 193,333,414,612.02/538,809.50
  6. Step 6: Final answer
    x = 358,815.90

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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.