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Finding the Fourth Proportional to 537,835.20, 806,752.80 and 513,340.80

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Solution

The fourth proportional to 537,835.20, 806,752.80 and 513,340.80 is: 770,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,835.20 : 806,752.80 = 513,340.80 : x
  2. Step 2: Convert to fraction form
    537,835.20/806,752.80 = 513,340.80/x
  3. Step 3: Cross multiply
    537,835.20x = 806,752.80 × 513,340.80
  4. Step 4: Simplify right side
    537,835.20x = 414,139,127,754.24
  5. Step 5: Solve for x
    x = 414,139,127,754.24/537,835.20
  6. Step 6: Final answer
    x = 770,011.20

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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.