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Finding the Fourth Proportional to 378,407.16, 522,292.86 and 227,475

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Solution

The fourth proportional to 378,407.16, 522,292.86 and 227,475 is: 313,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,407.16 : 522,292.86 = 227,475 : x
  2. Step 2: Convert to fraction form
    378,407.16/522,292.86 = 227,475/x
  3. Step 3: Cross multiply
    378,407.16x = 522,292.86 × 227,475
  4. Step 4: Simplify right side
    378,407.16x = 118,808,568,328.50
  5. Step 5: Solve for x
    x = 118,808,568,328.50/378,407.16
  6. Step 6: Final answer
    x = 313,970.19

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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.