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Finding the Fourth Proportional to 513,480.66, 708,548.79 and 284,001.48

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Solution

The fourth proportional to 513,480.66, 708,548.79 and 284,001.48 is: 391,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,480.66 : 708,548.79 = 284,001.48 : x
  2. Step 2: Convert to fraction form
    513,480.66/708,548.79 = 284,001.48/x
  3. Step 3: Cross multiply
    513,480.66x = 708,548.79 × 284,001.48
  4. Step 4: Simplify right side
    513,480.66x = 201,228,905,012.21
  5. Step 5: Solve for x
    x = 201,228,905,012.21/513,480.66
  6. Step 6: Final answer
    x = 391,891.89

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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.