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Finding the Fourth Proportional to 477,761.14, 716,745.39 and 145,328.50

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Solution

The fourth proportional to 477,761.14, 716,745.39 and 145,328.50 is: 218,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,761.14 : 716,745.39 = 145,328.50 : x
  2. Step 2: Convert to fraction form
    477,761.14/716,745.39 = 145,328.50/x
  3. Step 3: Cross multiply
    477,761.14x = 716,745.39 × 145,328.50
  4. Step 4: Simplify right side
    477,761.14x = 104,163,532,410.62
  5. Step 5: Solve for x
    x = 104,163,532,410.62/477,761.14
  6. Step 6: Final answer
    x = 218,024.29

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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.