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Finding the Fourth Proportional to 715,701.42, 987,670 and 409,782.49

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Solution

The fourth proportional to 715,701.42, 987,670 and 409,782.49 is: 565,501.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,701.42 : 987,670 = 409,782.49 : x
  2. Step 2: Convert to fraction form
    715,701.42/987,670 = 409,782.49/x
  3. Step 3: Cross multiply
    715,701.42x = 987,670 × 409,782.49
  4. Step 4: Simplify right side
    715,701.42x = 404,729,871,898.30
  5. Step 5: Solve for x
    x = 404,729,871,898.30/715,701.42
  6. Step 6: Final answer
    x = 565,501.00

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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.