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Finding the Fourth Proportional to 278,909,876.40, 418,364,814.60 and 261,903,764.40

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Solution

The fourth proportional to 278,909,876.40, 418,364,814.60 and 261,903,764.40 is: 392,855,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,909,876.40 : 418,364,814.60 = 261,903,764.40 : x
  2. Step 2: Convert to fraction form
    278,909,876.40/418,364,814.60 = 261,903,764.40/x
  3. Step 3: Cross multiply
    278,909,876.40x = 418,364,814.60 × 261,903,764.40
  4. Step 4: Simplify right side
    278,909,876.40x = 109,571,319,836,248,096
  5. Step 5: Solve for x
    x = 109,571,319,836,248,096/278,909,876.40
  6. Step 6: Final answer
    x = 392,855,646.60

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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.