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Finding the Fourth Proportional to 715,400.79, 987,308 and 409,573.09

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Solution

The fourth proportional to 715,400.79, 987,308 and 409,573.09 is: 565,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,400.79 : 987,308 = 409,573.09 : x
  2. Step 2: Convert to fraction form
    715,400.79/987,308 = 409,573.09/x
  3. Step 3: Cross multiply
    715,400.79x = 987,308 × 409,573.09
  4. Step 4: Simplify right side
    715,400.79x = 404,374,788,341.72
  5. Step 5: Solve for x
    x = 404,374,788,341.72/715,400.79
  6. Step 6: Final answer
    x = 565,242.30

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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.