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Finding the Fourth Proportional to 664,655.80, 996,335.70 and 380,054.20

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Solution

The fourth proportional to 664,655.80, 996,335.70 and 380,054.20 is: 569,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,655.80 : 996,335.70 = 380,054.20 : x
  2. Step 2: Convert to fraction form
    664,655.80/996,335.70 = 380,054.20/x
  3. Step 3: Cross multiply
    664,655.80x = 996,335.70 × 380,054.20
  4. Step 4: Simplify right side
    664,655.80x = 378,661,567,394.94
  5. Step 5: Solve for x
    x = 378,661,567,394.94/664,655.80
  6. Step 6: Final answer
    x = 569,710.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.