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Finding the Fourth Proportional to 1,309,721.64, 1,807,402.86 and 728,935.08

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Solution

The fourth proportional to 1,309,721.64, 1,807,402.86 and 728,935.08 is: 1,005,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,721.64 : 1,807,402.86 = 728,935.08 : x
  2. Step 2: Convert to fraction form
    1,309,721.64/1,807,402.86 = 728,935.08/x
  3. Step 3: Cross multiply
    1,309,721.64x = 1,807,402.86 × 728,935.08
  4. Step 4: Simplify right side
    1,309,721.64x = 1,317,479,348,346.33
  5. Step 5: Solve for x
    x = 1,317,479,348,346.33/1,309,721.64
  6. Step 6: Final answer
    x = 1,005,923.17

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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.