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Finding the Fourth Proportional to 310,998.23, 429,218.80 and 175,058.57

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Solution

The fourth proportional to 310,998.23, 429,218.80 and 175,058.57 is: 241,604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,998.23 : 429,218.80 = 175,058.57 : x
  2. Step 2: Convert to fraction form
    310,998.23/429,218.80 = 175,058.57/x
  3. Step 3: Cross multiply
    310,998.23x = 429,218.80 × 175,058.57
  4. Step 4: Simplify right side
    310,998.23x = 75,138,427,566.16
  5. Step 5: Solve for x
    x = 75,138,427,566.16/310,998.23
  6. Step 6: Final answer
    x = 241,604.03

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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.