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Finding the Fourth Proportional to 514,374.74, 709,842.86 and 284,935.56

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Solution

The fourth proportional to 514,374.74, 709,842.86 and 284,935.56 is: 393,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,374.74 : 709,842.86 = 284,935.56 : x
  2. Step 2: Convert to fraction form
    514,374.74/709,842.86 = 284,935.56/x
  3. Step 3: Cross multiply
    514,374.74x = 709,842.86 × 284,935.56
  4. Step 4: Simplify right side
    514,374.74x = 202,259,471,401.42
  5. Step 5: Solve for x
    x = 202,259,471,401.42/514,374.74
  6. Step 6: Final answer
    x = 393,214.24

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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.