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Finding the Fourth Proportional to 318,802.74, 478,121.05 and 150,278.32

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Solution

The fourth proportional to 318,802.74, 478,121.05 and 150,278.32 is: 225,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,802.74 : 478,121.05 = 150,278.32 : x
  2. Step 2: Convert to fraction form
    318,802.74/478,121.05 = 150,278.32/x
  3. Step 3: Cross multiply
    318,802.74x = 478,121.05 × 150,278.32
  4. Step 4: Simplify right side
    318,802.74x = 71,851,228,090.82
  5. Step 5: Solve for x
    x = 71,851,228,090.82/318,802.74
  6. Step 6: Final answer
    x = 225,378.33

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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.