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Finding the Fourth Proportional to 280,543.80, 420,815.70 and 186,065.40

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Solution

The fourth proportional to 280,543.80, 420,815.70 and 186,065.40 is: 279,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,543.80 : 420,815.70 = 186,065.40 : x
  2. Step 2: Convert to fraction form
    280,543.80/420,815.70 = 186,065.40/x
  3. Step 3: Cross multiply
    280,543.80x = 420,815.70 × 186,065.40
  4. Step 4: Simplify right side
    280,543.80x = 78,299,241,546.78
  5. Step 5: Solve for x
    x = 78,299,241,546.78/280,543.80
  6. Step 6: Final answer
    x = 279,098.10

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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.