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Finding the Fourth Proportional to 509,188.68, 702,710.64 and 282,832.56

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Solution

The fourth proportional to 509,188.68, 702,710.64 and 282,832.56 is: 390,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,188.68 : 702,710.64 = 282,832.56 : x
  2. Step 2: Convert to fraction form
    509,188.68/702,710.64 = 282,832.56/x
  3. Step 3: Cross multiply
    509,188.68x = 702,710.64 × 282,832.56
  4. Step 4: Simplify right side
    509,188.68x = 198,749,449,250.44
  5. Step 5: Solve for x
    x = 198,749,449,250.44/509,188.68
  6. Step 6: Final answer
    x = 390,325.74

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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.