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Finding the Fourth Proportional to 338,958.32, 507,817.82 and 158,713.07

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Solution

The fourth proportional to 338,958.32, 507,817.82 and 158,713.07 is: 237,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,958.32 : 507,817.82 = 158,713.07 : x
  2. Step 2: Convert to fraction form
    338,958.32/507,817.82 = 158,713.07/x
  3. Step 3: Cross multiply
    338,958.32x = 507,817.82 × 158,713.07
  4. Step 4: Simplify right side
    338,958.32x = 80,597,323,070.60
  5. Step 5: Solve for x
    x = 80,597,323,070.60/338,958.32
  6. Step 6: Final answer
    x = 237,779.45

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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.