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Finding the Fourth Proportional to 509,371.98, 702,933.48 and 283,017.48

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Solution

The fourth proportional to 509,371.98, 702,933.48 and 283,017.48 is: 390,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,371.98 : 702,933.48 = 283,017.48 : x
  2. Step 2: Convert to fraction form
    509,371.98/702,933.48 = 283,017.48/x
  3. Step 3: Cross multiply
    509,371.98x = 702,933.48 × 283,017.48
  4. Step 4: Simplify right side
    509,371.98x = 198,942,462,117.23
  5. Step 5: Solve for x
    x = 198,942,462,117.23/509,371.98
  6. Step 6: Final answer
    x = 390,564.20

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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.