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Finding the Fourth Proportional to 386,435.56, 533,254.24 and 214,337.20

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Solution

The fourth proportional to 386,435.56, 533,254.24 and 214,337.20 is: 295,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,435.56 : 533,254.24 = 214,337.20 : x
  2. Step 2: Convert to fraction form
    386,435.56/533,254.24 = 214,337.20/x
  3. Step 3: Cross multiply
    386,435.56x = 533,254.24 × 214,337.20
  4. Step 4: Simplify right side
    386,435.56x = 114,296,220,689.73
  5. Step 5: Solve for x
    x = 114,296,220,689.73/386,435.56
  6. Step 6: Final answer
    x = 295,770.45

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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.