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Finding the Fourth Proportional to 287,987.72, 432,174.40 and 119,508.21

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Solution

The fourth proportional to 287,987.72, 432,174.40 and 119,508.21 is: 179,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,987.72 : 432,174.40 = 119,508.21 : x
  2. Step 2: Convert to fraction form
    287,987.72/432,174.40 = 119,508.21/x
  3. Step 3: Cross multiply
    287,987.72x = 432,174.40 × 119,508.21
  4. Step 4: Simplify right side
    287,987.72x = 51,648,389,325.29
  5. Step 5: Solve for x
    x = 51,648,389,325.29/287,987.72
  6. Step 6: Final answer
    x = 179,342.33

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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.