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Finding the Fourth Proportional to 510,681.84, 704,728.44 and 284,322.48

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Solution

The fourth proportional to 510,681.84, 704,728.44 and 284,322.48 is: 392,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,681.84 : 704,728.44 = 284,322.48 : x
  2. Step 2: Convert to fraction form
    510,681.84/704,728.44 = 284,322.48/x
  3. Step 3: Cross multiply
    510,681.84x = 704,728.44 × 284,322.48
  4. Step 4: Simplify right side
    510,681.84x = 200,370,137,787.33
  5. Step 5: Solve for x
    x = 200,370,137,787.33/510,681.84
  6. Step 6: Final answer
    x = 392,358.06

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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.