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Finding the Fourth Proportional to 631,653.82, 871,771.16 and 402,137.80

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Solution

The fourth proportional to 631,653.82, 871,771.16 and 402,137.80 is: 555,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,653.82 : 871,771.16 = 402,137.80 : x
  2. Step 2: Convert to fraction form
    631,653.82/871,771.16 = 402,137.80/x
  3. Step 3: Cross multiply
    631,653.82x = 871,771.16 × 402,137.80
  4. Step 4: Simplify right side
    631,653.82x = 350,572,136,385.85
  5. Step 5: Solve for x
    x = 350,572,136,385.85/631,653.82
  6. Step 6: Final answer
    x = 555,006.75

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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.