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Finding the Fourth Proportional to 582,135.64, 803,226 and 340,371.28

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Solution

The fourth proportional to 582,135.64, 803,226 and 340,371.28 is: 469,641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,135.64 : 803,226 = 340,371.28 : x
  2. Step 2: Convert to fraction form
    582,135.64/803,226 = 340,371.28/x
  3. Step 3: Cross multiply
    582,135.64x = 803,226 × 340,371.28
  4. Step 4: Simplify right side
    582,135.64x = 273,395,061,749.28
  5. Step 5: Solve for x
    x = 273,395,061,749.28/582,135.64
  6. Step 6: Final answer
    x = 469,641.51

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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.