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Finding the Fourth Proportional to 1,109,901.10, 1,664,851.65 and 684,748.30

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Solution

The fourth proportional to 1,109,901.10, 1,664,851.65 and 684,748.30 is: 1,027,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,901.10 : 1,664,851.65 = 684,748.30 : x
  2. Step 2: Convert to fraction form
    1,109,901.10/1,664,851.65 = 684,748.30/x
  3. Step 3: Cross multiply
    1,109,901.10x = 1,664,851.65 × 684,748.30
  4. Step 4: Simplify right side
    1,109,901.10x = 1,140,004,337,089.70
  5. Step 5: Solve for x
    x = 1,140,004,337,089.70/1,109,901.10
  6. Step 6: Final answer
    x = 1,027,122.45

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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.