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Finding the Fourth Proportional to 378,142.72, 567,312.48 and 141,503.68

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Solution

The fourth proportional to 378,142.72, 567,312.48 and 141,503.68 is: 212,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,142.72 : 567,312.48 = 141,503.68 : x
  2. Step 2: Convert to fraction form
    378,142.72/567,312.48 = 141,503.68/x
  3. Step 3: Cross multiply
    378,142.72x = 567,312.48 × 141,503.68
  4. Step 4: Simplify right side
    378,142.72x = 80,276,803,629.93
  5. Step 5: Solve for x
    x = 80,276,803,629.93/378,142.72
  6. Step 6: Final answer
    x = 212,292.34

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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.