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Finding the Fourth Proportional to 537,904.20, 806,856.30 and 513,409.80

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Solution

The fourth proportional to 537,904.20, 806,856.30 and 513,409.80 is: 770,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,904.20 : 806,856.30 = 513,409.80 : x
  2. Step 2: Convert to fraction form
    537,904.20/806,856.30 = 513,409.80/x
  3. Step 3: Cross multiply
    537,904.20x = 806,856.30 × 513,409.80
  4. Step 4: Simplify right side
    537,904.20x = 414,247,931,611.74
  5. Step 5: Solve for x
    x = 414,247,931,611.74/537,904.20
  6. Step 6: Final answer
    x = 770,114.70

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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.