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Finding the Fourth Proportional to 509,371.64, 702,932.66 and 283,017.14

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Solution

The fourth proportional to 509,371.64, 702,932.66 and 283,017.14 is: 390,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,371.64 : 702,932.66 = 283,017.14 : x
  2. Step 2: Convert to fraction form
    509,371.64/702,932.66 = 283,017.14/x
  3. Step 3: Cross multiply
    509,371.64x = 702,932.66 × 283,017.14
  4. Step 4: Simplify right side
    509,371.64x = 198,941,987,531.13
  5. Step 5: Solve for x
    x = 198,941,987,531.13/509,371.64
  6. Step 6: Final answer
    x = 390,563.54

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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.