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Finding the Fourth Proportional to 386,877.16, 533,878.50 and 214,791.40

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Solution

The fourth proportional to 386,877.16, 533,878.50 and 214,791.40 is: 296,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,877.16 : 533,878.50 = 214,791.40 : x
  2. Step 2: Convert to fraction form
    386,877.16/533,878.50 = 214,791.40/x
  3. Step 3: Cross multiply
    386,877.16x = 533,878.50 × 214,791.40
  4. Step 4: Simplify right side
    386,877.16x = 114,672,510,444.90
  5. Step 5: Solve for x
    x = 114,672,510,444.90/386,877.16
  6. Step 6: Final answer
    x = 296,405.48

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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.