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Finding the Fourth Proportional to 871,999.80, 1,307,999.70 and 735,142.20

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Solution

The fourth proportional to 871,999.80, 1,307,999.70 and 735,142.20 is: 1,102,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,999.80 : 1,307,999.70 = 735,142.20 : x
  2. Step 2: Convert to fraction form
    871,999.80/1,307,999.70 = 735,142.20/x
  3. Step 3: Cross multiply
    871,999.80x = 1,307,999.70 × 735,142.20
  4. Step 4: Simplify right side
    871,999.80x = 961,565,777,057.34
  5. Step 5: Solve for x
    x = 961,565,777,057.34/871,999.80
  6. Step 6: Final answer
    x = 1,102,713.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.