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Finding the Fourth Proportional to 429,868,763.70, 644,803,145.55 and 422,694,310.20

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Solution

The fourth proportional to 429,868,763.70, 644,803,145.55 and 422,694,310.20 is: 634,041,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,868,763.70 : 644,803,145.55 = 422,694,310.20 : x
  2. Step 2: Convert to fraction form
    429,868,763.70/644,803,145.55 = 422,694,310.20/x
  3. Step 3: Cross multiply
    429,868,763.70x = 644,803,145.55 × 422,694,310.20
  4. Step 4: Simplify right side
    429,868,763.70x = 272,554,620,823,047,424
  5. Step 5: Solve for x
    x = 272,554,620,823,047,424/429,868,763.70
  6. Step 6: Final answer
    x = 634,041,465.30

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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.