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Finding the Fourth Proportional to 514,356.42, 709,787.19 and 284,898.22

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Solution

The fourth proportional to 514,356.42, 709,787.19 and 284,898.22 is: 393,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,356.42 : 709,787.19 = 284,898.22 : x
  2. Step 2: Convert to fraction form
    514,356.42/709,787.19 = 284,898.22/x
  3. Step 3: Cross multiply
    514,356.42x = 709,787.19 × 284,898.22
  4. Step 4: Simplify right side
    514,356.42x = 202,217,107,009.80
  5. Step 5: Solve for x
    x = 202,217,107,009.80/514,356.42
  6. Step 6: Final answer
    x = 393,145.88

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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.