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Finding the Fourth Proportional to 493,780.32, 681,710.51 and 312,647.51

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Solution

The fourth proportional to 493,780.32, 681,710.51 and 312,647.51 is: 431,639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,780.32 : 681,710.51 = 312,647.51 : x
  2. Step 2: Convert to fraction form
    493,780.32/681,710.51 = 312,647.51/x
  3. Step 3: Cross multiply
    493,780.32x = 681,710.51 × 312,647.51
  4. Step 4: Simplify right side
    493,780.32x = 213,135,095,978.23
  5. Step 5: Solve for x
    x = 213,135,095,978.23/493,780.32
  6. Step 6: Final answer
    x = 431,639.51

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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.