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Finding the Fourth Proportional to 514,394.10, 709,854.56 and 284,950.68

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Solution

The fourth proportional to 514,394.10, 709,854.56 and 284,950.68 is: 393,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,394.10 : 709,854.56 = 284,950.68 : x
  2. Step 2: Convert to fraction form
    514,394.10/709,854.56 = 284,950.68/x
  3. Step 3: Cross multiply
    514,394.10x = 709,854.56 × 284,950.68
  4. Step 4: Simplify right side
    514,394.10x = 202,273,538,148.35
  5. Step 5: Solve for x
    x = 202,273,538,148.35/514,394.10
  6. Step 6: Final answer
    x = 393,226.78

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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.