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Finding the Fourth Proportional to 514,012.56, 709,274.70 and 284,552.52

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Solution

The fourth proportional to 514,012.56, 709,274.70 and 284,552.52 is: 392,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,012.56 : 709,274.70 = 284,552.52 : x
  2. Step 2: Convert to fraction form
    514,012.56/709,274.70 = 284,552.52/x
  3. Step 3: Cross multiply
    514,012.56x = 709,274.70 × 284,552.52
  4. Step 4: Simplify right side
    514,012.56x = 201,825,903,257.24
  5. Step 5: Solve for x
    x = 201,825,903,257.24/514,012.56
  6. Step 6: Final answer
    x = 392,647.80

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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.