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Finding the Fourth Proportional to 537,708.70, 807,000.45 and 520,212.70

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Solution

The fourth proportional to 537,708.70, 807,000.45 and 520,212.70 is: 780,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,708.70 : 807,000.45 = 520,212.70 : x
  2. Step 2: Convert to fraction form
    537,708.70/807,000.45 = 520,212.70/x
  3. Step 3: Cross multiply
    537,708.70x = 807,000.45 × 520,212.70
  4. Step 4: Simplify right side
    537,708.70x = 419,811,882,995.72
  5. Step 5: Solve for x
    x = 419,811,882,995.72/537,708.70
  6. Step 6: Final answer
    x = 780,742.22

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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.