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Finding the Fourth Proportional to 282,859.98, 390,360.80 and 175,464.61

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Solution

The fourth proportional to 282,859.98, 390,360.80 and 175,464.61 is: 242,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,859.98 : 390,360.80 = 175,464.61 : x
  2. Step 2: Convert to fraction form
    282,859.98/390,360.80 = 175,464.61/x
  3. Step 3: Cross multiply
    282,859.98x = 390,360.80 × 175,464.61
  4. Step 4: Simplify right side
    282,859.98x = 68,494,505,531.29
  5. Step 5: Solve for x
    x = 68,494,505,531.29/282,859.98
  6. Step 6: Final answer
    x = 242,149.86

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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.