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Finding the Fourth Proportional to 468,881.76, 647,056 and 254,027.28

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Solution

The fourth proportional to 468,881.76, 647,056 and 254,027.28 is: 350,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,881.76 : 647,056 = 254,027.28 : x
  2. Step 2: Convert to fraction form
    468,881.76/647,056 = 254,027.28/x
  3. Step 3: Cross multiply
    468,881.76x = 647,056 × 254,027.28
  4. Step 4: Simplify right side
    468,881.76x = 164,369,875,687.68
  5. Step 5: Solve for x
    x = 164,369,875,687.68/468,881.76
  6. Step 6: Final answer
    x = 350,557.20

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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.