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Finding the Fourth Proportional to 311,930,905.20, 467,896,357.80 and 287,744,434.80

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Solution

The fourth proportional to 311,930,905.20, 467,896,357.80 and 287,744,434.80 is: 431,616,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,930,905.20 : 467,896,357.80 = 287,744,434.80 : x
  2. Step 2: Convert to fraction form
    311,930,905.20/467,896,357.80 = 287,744,434.80/x
  3. Step 3: Cross multiply
    311,930,905.20x = 467,896,357.80 × 287,744,434.80
  4. Step 4: Simplify right side
    311,930,905.20x = 134,634,573,020,139,584
  5. Step 5: Solve for x
    x = 134,634,573,020,139,584/311,930,905.20
  6. Step 6: Final answer
    x = 431,616,652.20

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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.