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Finding the Fourth Proportional to 514,388.92, 709,840.64 and 284,937

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Solution

The fourth proportional to 514,388.92, 709,840.64 and 284,937 is: 393,204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,388.92 : 709,840.64 = 284,937 : x
  2. Step 2: Convert to fraction form
    514,388.92/709,840.64 = 284,937/x
  3. Step 3: Cross multiply
    514,388.92x = 709,840.64 × 284,937
  4. Step 4: Simplify right side
    514,388.92x = 202,259,862,439.68
  5. Step 5: Solve for x
    x = 202,259,862,439.68/514,388.92
  6. Step 6: Final answer
    x = 393,204.16

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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.