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Finding the Fourth Proportional to 1,380,593.64, 1,905,807.12 and 928,147.08

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Solution

The fourth proportional to 1,380,593.64, 1,905,807.12 and 928,147.08 is: 1,281,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,593.64 : 1,905,807.12 = 928,147.08 : x
  2. Step 2: Convert to fraction form
    1,380,593.64/1,905,807.12 = 928,147.08/x
  3. Step 3: Cross multiply
    1,380,593.64x = 1,905,807.12 × 928,147.08
  4. Step 4: Simplify right side
    1,380,593.64x = 1,768,869,313,471.21
  5. Step 5: Solve for x
    x = 1,768,869,313,471.21/1,380,593.64
  6. Step 6: Final answer
    x = 1,281,238.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.