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Finding the Fourth Proportional to 514,104.49, 709,464 and 287,749.99

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Solution

The fourth proportional to 514,104.49, 709,464 and 287,749.99 is: 397,094.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,104.49 : 709,464 = 287,749.99 : x
  2. Step 2: Convert to fraction form
    514,104.49/709,464 = 287,749.99/x
  3. Step 3: Cross multiply
    514,104.49x = 709,464 × 287,749.99
  4. Step 4: Simplify right side
    514,104.49x = 204,148,258,905.36
  5. Step 5: Solve for x
    x = 204,148,258,905.36/514,104.49
  6. Step 6: Final answer
    x = 397,094.88

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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.