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Finding the Fourth Proportional to 537,749.40, 806,429.70 and 271,421.40

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Solution

The fourth proportional to 537,749.40, 806,429.70 and 271,421.40 is: 407,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,749.40 : 806,429.70 = 271,421.40 : x
  2. Step 2: Convert to fraction form
    537,749.40/806,429.70 = 271,421.40/x
  3. Step 3: Cross multiply
    537,749.40x = 806,429.70 × 271,421.40
  4. Step 4: Simplify right side
    537,749.40x = 218,882,278,175.58
  5. Step 5: Solve for x
    x = 218,882,278,175.58/537,749.40
  6. Step 6: Final answer
    x = 407,033.98

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1.5x scale

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.