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Finding the Fourth Proportional to 328,188.34, 491,987.05 and 117,777.07

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Solution

The fourth proportional to 328,188.34, 491,987.05 and 117,777.07 is: 176,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,188.34 : 491,987.05 = 117,777.07 : x
  2. Step 2: Convert to fraction form
    328,188.34/491,987.05 = 117,777.07/x
  3. Step 3: Cross multiply
    328,188.34x = 491,987.05 × 117,777.07
  4. Step 4: Simplify right side
    328,188.34x = 57,944,793,547.48
  5. Step 5: Solve for x
    x = 57,944,793,547.48/328,188.34
  6. Step 6: Final answer
    x = 176,559.57

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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.