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Finding the Fourth Proportional to 386,385.66, 533,204.24 and 214,275.87

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Solution

The fourth proportional to 386,385.66, 533,204.24 and 214,275.87 is: 295,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,385.66 : 533,204.24 = 214,275.87 : x
  2. Step 2: Convert to fraction form
    386,385.66/533,204.24 = 214,275.87/x
  3. Step 3: Cross multiply
    386,385.66x = 533,204.24 × 214,275.87
  4. Step 4: Simplify right side
    386,385.66x = 114,252,801,342.31
  5. Step 5: Solve for x
    x = 114,252,801,342.31/386,385.66
  6. Step 6: Final answer
    x = 295,696.28

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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.