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Finding the Fourth Proportional to 5,189,806.80, 7,784,691.84 and 1,403,289.36

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Solution

The fourth proportional to 5,189,806.80, 7,784,691.84 and 1,403,289.36 is: 2,104,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189,806.80 : 7,784,691.84 = 1,403,289.36 : x
  2. Step 2: Convert to fraction form
    5,189,806.80/7,784,691.84 = 1,403,289.36/x
  3. Step 3: Cross multiply
    5,189,806.80x = 7,784,691.84 × 1,403,289.36
  4. Step 4: Simplify right side
    5,189,806.80x = 10,924,175,229,950.82
  5. Step 5: Solve for x
    x = 10,924,175,229,950.82/5,189,806.80
  6. Step 6: Final answer
    x = 2,104,929.08

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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.