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Finding the Fourth Proportional to 543,505.92, 750,023.75 and 301,782.28

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Solution

The fourth proportional to 543,505.92, 750,023.75 and 301,782.28 is: 416,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,505.92 : 750,023.75 = 301,782.28 : x
  2. Step 2: Convert to fraction form
    543,505.92/750,023.75 = 301,782.28/x
  3. Step 3: Cross multiply
    543,505.92x = 750,023.75 × 301,782.28
  4. Step 4: Simplify right side
    543,505.92x = 226,343,875,820.24
  5. Step 5: Solve for x
    x = 226,343,875,820.24/543,505.92
  6. Step 6: Final answer
    x = 416,451.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.