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Finding the Fourth Proportional to 287,812.67, 397,058.96 and 211,198.66

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Solution

The fourth proportional to 287,812.67, 397,058.96 and 211,198.66 is: 291,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,812.67 : 397,058.96 = 211,198.66 : x
  2. Step 2: Convert to fraction form
    287,812.67/397,058.96 = 211,198.66/x
  3. Step 3: Cross multiply
    287,812.67x = 397,058.96 × 211,198.66
  4. Step 4: Simplify right side
    287,812.67x = 83,858,319,828.34
  5. Step 5: Solve for x
    x = 83,858,319,828.34/287,812.67
  6. Step 6: Final answer
    x = 291,364.24

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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.