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Finding the Fourth Proportional to 386,751.30, 533,708.51 and 214,659.21

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Solution

The fourth proportional to 386,751.30, 533,708.51 and 214,659.21 is: 296,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,751.30 : 533,708.51 = 214,659.21 : x
  2. Step 2: Convert to fraction form
    386,751.30/533,708.51 = 214,659.21/x
  3. Step 3: Cross multiply
    386,751.30x = 533,708.51 × 214,659.21
  4. Step 4: Simplify right side
    386,751.30x = 114,565,446,053.58
  5. Step 5: Solve for x
    x = 114,565,446,053.58/386,751.30
  6. Step 6: Final answer
    x = 296,225.11

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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.