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Finding the Fourth Proportional to 538,805.50, 808,212.30 and 239,205.40

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Solution

The fourth proportional to 538,805.50, 808,212.30 and 239,205.40 is: 358,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,805.50 : 808,212.30 = 239,205.40 : x
  2. Step 2: Convert to fraction form
    538,805.50/808,212.30 = 239,205.40/x
  3. Step 3: Cross multiply
    538,805.50x = 808,212.30 × 239,205.40
  4. Step 4: Simplify right side
    538,805.50x = 193,328,746,506.42
  5. Step 5: Solve for x
    x = 193,328,746,506.42/538,805.50
  6. Step 6: Final answer
    x = 358,809.90

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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.