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Finding the Fourth Proportional to 386,804.26, 533,781.46 and 214,712.26

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Solution

The fourth proportional to 386,804.26, 533,781.46 and 214,712.26 is: 296,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,804.26 : 533,781.46 = 214,712.26 : x
  2. Step 2: Convert to fraction form
    386,804.26/533,781.46 = 214,712.26/x
  3. Step 3: Cross multiply
    386,804.26x = 533,781.46 × 214,712.26
  4. Step 4: Simplify right side
    386,804.26x = 114,609,423,622.70
  5. Step 5: Solve for x
    x = 114,609,423,622.70/386,804.26
  6. Step 6: Final answer
    x = 296,298.25

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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.