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Finding the Fourth Proportional to 282,878.10, 390,371.76 and 155,553.66

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Solution

The fourth proportional to 282,878.10, 390,371.76 and 155,553.66 is: 214,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,878.10 : 390,371.76 = 155,553.66 : x
  2. Step 2: Convert to fraction form
    282,878.10/390,371.76 = 155,553.66/x
  3. Step 3: Cross multiply
    282,878.10x = 390,371.76 × 155,553.66
  4. Step 4: Simplify right side
    282,878.10x = 60,723,756,028.64
  5. Step 5: Solve for x
    x = 60,723,756,028.64/282,878.10
  6. Step 6: Final answer
    x = 214,664.04

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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.