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Finding the Fourth Proportional to 641,657,578.96, 960,828,755.64 and 442,850,320.72

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Solution

The fourth proportional to 641,657,578.96, 960,828,755.64 and 442,850,320.72 is: 663,131,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,657,578.96 : 960,828,755.64 = 442,850,320.72 : x
  2. Step 2: Convert to fraction form
    641,657,578.96/960,828,755.64 = 442,850,320.72/x
  3. Step 3: Cross multiply
    641,657,578.96x = 960,828,755.64 × 442,850,320.72
  4. Step 4: Simplify right side
    641,657,578.96x = 425,503,322,592,172,544
  5. Step 5: Solve for x
    x = 425,503,322,592,172,544/641,657,578.96
  6. Step 6: Final answer
    x = 663,131,452.89

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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.