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Finding the Fourth Proportional to 715,813.80, 987,825.06 and 409,894.80

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Solution

The fourth proportional to 715,813.80, 987,825.06 and 409,894.80 is: 565,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,813.80 : 987,825.06 = 409,894.80 : x
  2. Step 2: Convert to fraction form
    715,813.80/987,825.06 = 409,894.80/x
  3. Step 3: Cross multiply
    715,813.80x = 987,825.06 × 409,894.80
  4. Step 4: Simplify right side
    715,813.80x = 404,904,355,403.69
  5. Step 5: Solve for x
    x = 404,904,355,403.69/715,813.80
  6. Step 6: Final answer
    x = 565,655.98

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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.