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Finding the Fourth Proportional to 509,344.31, 702,897.89 and 282,989.81

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Solution

The fourth proportional to 509,344.31, 702,897.89 and 282,989.81 is: 390,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,344.31 : 702,897.89 = 282,989.81 : x
  2. Step 2: Convert to fraction form
    509,344.31/702,897.89 = 282,989.81/x
  3. Step 3: Cross multiply
    509,344.31x = 702,897.89 × 282,989.81
  4. Step 4: Simplify right side
    509,344.31x = 198,912,940,682.80
  5. Step 5: Solve for x
    x = 198,912,940,682.80/509,344.31
  6. Step 6: Final answer
    x = 390,527.46

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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.