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Finding the Fourth Proportional to 511,985.22, 767,988.90 and 156,991.38

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Solution

The fourth proportional to 511,985.22, 767,988.90 and 156,991.38 is: 235,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,985.22 : 767,988.90 = 156,991.38 : x
  2. Step 2: Convert to fraction form
    511,985.22/767,988.90 = 156,991.38/x
  3. Step 3: Cross multiply
    511,985.22x = 767,988.90 × 156,991.38
  4. Step 4: Simplify right side
    511,985.22x = 120,567,637,235.68
  5. Step 5: Solve for x
    x = 120,567,637,235.68/511,985.22
  6. Step 6: Final answer
    x = 235,490.46

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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.