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Finding the Fourth Proportional to 537,644.20, 806,903.70 and 520,148.20

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Solution

The fourth proportional to 537,644.20, 806,903.70 and 520,148.20 is: 780,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,644.20 : 806,903.70 = 520,148.20 : x
  2. Step 2: Convert to fraction form
    537,644.20/806,903.70 = 520,148.20/x
  3. Step 3: Cross multiply
    537,644.20x = 806,903.70 × 520,148.20
  4. Step 4: Simplify right side
    537,644.20x = 419,709,507,128.34
  5. Step 5: Solve for x
    x = 419,709,507,128.34/537,644.20
  6. Step 6: Final answer
    x = 780,645.47

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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.