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Finding the Fourth Proportional to 537,778.40, 806,667.60 and 338,712.80

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Solution

The fourth proportional to 537,778.40, 806,667.60 and 338,712.80 is: 508,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,778.40 : 806,667.60 = 338,712.80 : x
  2. Step 2: Convert to fraction form
    537,778.40/806,667.60 = 338,712.80/x
  3. Step 3: Cross multiply
    537,778.40x = 806,667.60 × 338,712.80
  4. Step 4: Simplify right side
    537,778.40x = 273,228,641,465.28
  5. Step 5: Solve for x
    x = 273,228,641,465.28/537,778.40
  6. Step 6: Final answer
    x = 508,069.20

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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.