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Finding the Fourth Proportional to 514,278.82, 709,650.75 and 284,830.10

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Solution

The fourth proportional to 514,278.82, 709,650.75 and 284,830.10 is: 393,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,278.82 : 709,650.75 = 284,830.10 : x
  2. Step 2: Convert to fraction form
    514,278.82/709,650.75 = 284,830.10/x
  3. Step 3: Cross multiply
    514,278.82x = 709,650.75 × 284,830.10
  4. Step 4: Simplify right side
    514,278.82x = 202,129,889,869.48
  5. Step 5: Solve for x
    x = 202,129,889,869.48/514,278.82
  6. Step 6: Final answer
    x = 393,035.61

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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.