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Finding the Fourth Proportional to 715,699.73, 987,667.67 and 409,780.80

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Solution

The fourth proportional to 715,699.73, 987,667.67 and 409,780.80 is: 565,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,699.73 : 987,667.67 = 409,780.80 : x
  2. Step 2: Convert to fraction form
    715,699.73/987,667.67 = 409,780.80/x
  3. Step 3: Cross multiply
    715,699.73x = 987,667.67 × 409,780.80
  4. Step 4: Simplify right side
    715,699.73x = 404,727,251,440.36
  5. Step 5: Solve for x
    x = 404,727,251,440.36/715,699.73
  6. Step 6: Final answer
    x = 565,498.68

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1.5x scale

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.