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Finding the Fourth Proportional to 386,712.96, 533,655.84 and 214,620.93

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Solution

The fourth proportional to 386,712.96, 533,655.84 and 214,620.93 is: 296,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,712.96 : 533,655.84 = 214,620.93 : x
  2. Step 2: Convert to fraction form
    386,712.96/533,655.84 = 214,620.93/x
  3. Step 3: Cross multiply
    386,712.96x = 533,655.84 × 214,620.93
  4. Step 4: Simplify right side
    386,712.96x = 114,533,712,680.73
  5. Step 5: Solve for x
    x = 114,533,712,680.73/386,712.96
  6. Step 6: Final answer
    x = 296,172.42

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1.5x scale

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.