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Finding the Fourth Proportional to 328,397.72, 492,617.38 and 138,822.75

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Solution

The fourth proportional to 328,397.72, 492,617.38 and 138,822.75 is: 208,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,397.72 : 492,617.38 = 138,822.75 : x
  2. Step 2: Convert to fraction form
    328,397.72/492,617.38 = 138,822.75/x
  3. Step 3: Cross multiply
    328,397.72x = 492,617.38 × 138,822.75
  4. Step 4: Simplify right side
    328,397.72x = 68,386,499,302.63
  5. Step 5: Solve for x
    x = 68,386,499,302.63/328,397.72
  6. Step 6: Final answer
    x = 208,242.92

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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.