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Finding the Fourth Proportional to 511,051.64, 700,143.26 and 491,897.47

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Solution

The fourth proportional to 511,051.64, 700,143.26 and 491,897.47 is: 673,901.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,051.64 : 700,143.26 = 491,897.47 : x
  2. Step 2: Convert to fraction form
    511,051.64/700,143.26 = 491,897.47/x
  3. Step 3: Cross multiply
    511,051.64x = 700,143.26 × 491,897.47
  4. Step 4: Simplify right side
    511,051.64x = 344,398,695,772.07
  5. Step 5: Solve for x
    x = 344,398,695,772.07/511,051.64
  6. Step 6: Final answer
    x = 673,901.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.