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Finding the Fourth Proportional to 299,218.48, 412,957.80 and 218,605.66

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Solution

The fourth proportional to 299,218.48, 412,957.80 and 218,605.66 is: 301,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,218.48 : 412,957.80 = 218,605.66 : x
  2. Step 2: Convert to fraction form
    299,218.48/412,957.80 = 218,605.66/x
  3. Step 3: Cross multiply
    299,218.48x = 412,957.80 × 218,605.66
  4. Step 4: Simplify right side
    299,218.48x = 90,274,912,421.15
  5. Step 5: Solve for x
    x = 90,274,912,421.15/299,218.48
  6. Step 6: Final answer
    x = 301,702.33

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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.