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Finding the Fourth Proportional to 511,398.42, 767,097 and 137,421.42

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Solution

The fourth proportional to 511,398.42, 767,097 and 137,421.42 is: 206,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,398.42 : 767,097 = 137,421.42 : x
  2. Step 2: Convert to fraction form
    511,398.42/767,097 = 137,421.42/x
  3. Step 3: Cross multiply
    511,398.42x = 767,097 × 137,421.42
  4. Step 4: Simplify right side
    511,398.42x = 105,415,559,017.74
  5. Step 5: Solve for x
    x = 105,415,559,017.74/511,398.42
  6. Step 6: Final answer
    x = 206,131.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.