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Finding the Fourth Proportional to 340,677.72, 511,016.62 and 153,742.68

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Solution

The fourth proportional to 340,677.72, 511,016.62 and 153,742.68 is: 230,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,677.72 : 511,016.62 = 153,742.68 : x
  2. Step 2: Convert to fraction form
    340,677.72/511,016.62 = 153,742.68/x
  3. Step 3: Cross multiply
    340,677.72x = 511,016.62 × 153,742.68
  4. Step 4: Simplify right side
    340,677.72x = 78,565,064,683.34
  5. Step 5: Solve for x
    x = 78,565,064,683.34/340,677.72
  6. Step 6: Final answer
    x = 230,614.04

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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.