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Finding the Fourth Proportional to 488,335,965.70, 732,503,948.55 and 422,578,999.30

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Solution

The fourth proportional to 488,335,965.70, 732,503,948.55 and 422,578,999.30 is: 633,868,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,335,965.70 : 732,503,948.55 = 422,578,999.30 : x
  2. Step 2: Convert to fraction form
    488,335,965.70/732,503,948.55 = 422,578,999.30/x
  3. Step 3: Cross multiply
    488,335,965.70x = 732,503,948.55 × 422,578,999.30
  4. Step 4: Simplify right side
    488,335,965.70x = 309,540,785,561,557,696
  5. Step 5: Solve for x
    x = 309,540,785,561,557,696/488,335,965.70
  6. Step 6: Final answer
    x = 633,868,498.95

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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.