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Finding the Fourth Proportional to 310,561.21, 428,589.66 and 174,637.93

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Solution

The fourth proportional to 310,561.21, 428,589.66 and 174,637.93 is: 241,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,561.21 : 428,589.66 = 174,637.93 : x
  2. Step 2: Convert to fraction form
    310,561.21/428,589.66 = 174,637.93/x
  3. Step 3: Cross multiply
    310,561.21x = 428,589.66 × 174,637.93
  4. Step 4: Simplify right side
    310,561.21x = 74,848,011,041.80
  5. Step 5: Solve for x
    x = 74,848,011,041.80/310,561.21
  6. Step 6: Final answer
    x = 241,008.89

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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.