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Finding the Fourth Proportional to 537,747.40, 806,426.70 and 271,419.40

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Solution

The fourth proportional to 537,747.40, 806,426.70 and 271,419.40 is: 407,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,747.40 : 806,426.70 = 271,419.40 : x
  2. Step 2: Convert to fraction form
    537,747.40/806,426.70 = 271,419.40/x
  3. Step 3: Cross multiply
    537,747.40x = 806,426.70 × 271,419.40
  4. Step 4: Simplify right side
    537,747.40x = 218,879,851,057.98
  5. Step 5: Solve for x
    x = 218,879,851,057.98/537,747.40
  6. Step 6: Final answer
    x = 407,030.98

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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.