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Finding the Fourth Proportional to 571,693.98, 788,932.32 and 313,565.64

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Solution

The fourth proportional to 571,693.98, 788,932.32 and 313,565.64 is: 432,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,693.98 : 788,932.32 = 313,565.64 : x
  2. Step 2: Convert to fraction form
    571,693.98/788,932.32 = 313,565.64/x
  3. Step 3: Cross multiply
    571,693.98x = 788,932.32 × 313,565.64
  4. Step 4: Simplify right side
    571,693.98x = 247,382,067,837.49
  5. Step 5: Solve for x
    x = 247,382,067,837.49/571,693.98
  6. Step 6: Final answer
    x = 432,717.64

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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.