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Finding the Fourth Proportional to 282,978.55, 390,539.04 and 162,135.86

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Solution

The fourth proportional to 282,978.55, 390,539.04 and 162,135.86 is: 223,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,978.55 : 390,539.04 = 162,135.86 : x
  2. Step 2: Convert to fraction form
    282,978.55/390,539.04 = 162,135.86/x
  3. Step 3: Cross multiply
    282,978.55x = 390,539.04 × 162,135.86
  4. Step 4: Simplify right side
    282,978.55x = 63,320,383,113.97
  5. Step 5: Solve for x
    x = 63,320,383,113.97/282,978.55
  6. Step 6: Final answer
    x = 223,763.90

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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.