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Finding the Fourth Proportional to 282,402.44, 389,718.10 and 155,080.77

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Solution

The fourth proportional to 282,402.44, 389,718.10 and 155,080.77 is: 214,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,402.44 : 389,718.10 = 155,080.77 : x
  2. Step 2: Convert to fraction form
    282,402.44/389,718.10 = 155,080.77/x
  3. Step 3: Cross multiply
    282,402.44x = 389,718.10 × 155,080.77
  4. Step 4: Simplify right side
    282,402.44x = 60,437,783,030.94
  5. Step 5: Solve for x
    x = 60,437,783,030.94/282,402.44
  6. Step 6: Final answer
    x = 214,012.96

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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.