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Finding the Fourth Proportional to 312,588, 431,371.62 and 169,349.04

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Solution

The fourth proportional to 312,588, 431,371.62 and 169,349.04 is: 233,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,588 : 431,371.62 = 169,349.04 : x
  2. Step 2: Convert to fraction form
    312,588/431,371.62 = 169,349.04/x
  3. Step 3: Cross multiply
    312,588x = 431,371.62 × 169,349.04
  4. Step 4: Simplify right side
    312,588x = 73,052,369,730.24
  5. Step 5: Solve for x
    x = 73,052,369,730.24/312,588
  6. Step 6: Final answer
    x = 233,701.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.