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Finding the Fourth Proportional to 282,715.16, 424,142.44 and 140,627.81

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Solution

The fourth proportional to 282,715.16, 424,142.44 and 140,627.81 is: 210,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,715.16 : 424,142.44 = 140,627.81 : x
  2. Step 2: Convert to fraction form
    282,715.16/424,142.44 = 140,627.81/x
  3. Step 3: Cross multiply
    282,715.16x = 424,142.44 × 140,627.81
  4. Step 4: Simplify right side
    282,715.16x = 59,646,223,174.04
  5. Step 5: Solve for x
    x = 59,646,223,174.04/282,715.16
  6. Step 6: Final answer
    x = 210,976.39

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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.