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Finding the Fourth Proportional to 715,699.42, 987,667.24 and 409,780.49

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Solution

The fourth proportional to 715,699.42, 987,667.24 and 409,780.49 is: 565,498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,699.42 : 987,667.24 = 409,780.49 : x
  2. Step 2: Convert to fraction form
    715,699.42/987,667.24 = 409,780.49/x
  3. Step 3: Cross multiply
    715,699.42x = 987,667.24 × 409,780.49
  4. Step 4: Simplify right side
    715,699.42x = 404,726,760,625.81
  5. Step 5: Solve for x
    x = 404,726,760,625.81/715,699.42
  6. Step 6: Final answer
    x = 565,498.24

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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.