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Finding the Fourth Proportional to 472,978.76, 709,448.29 and 220,172.36

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Solution

The fourth proportional to 472,978.76, 709,448.29 and 220,172.36 is: 330,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,978.76 : 709,448.29 = 220,172.36 : x
  2. Step 2: Convert to fraction form
    472,978.76/709,448.29 = 220,172.36/x
  3. Step 3: Cross multiply
    472,978.76x = 709,448.29 × 220,172.36
  4. Step 4: Simplify right side
    472,978.76x = 156,200,904,307.26
  5. Step 5: Solve for x
    x = 156,200,904,307.26/472,978.76
  6. Step 6: Final answer
    x = 330,249.30

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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.