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Finding the Fourth Proportional to 289,849,265.16, 399,993,725.43 and 157,691,209.74

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Solution

The fourth proportional to 289,849,265.16, 399,993,725.43 and 157,691,209.74 is: 217,614,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,849,265.16 : 399,993,725.43 = 157,691,209.74 : x
  2. Step 2: Convert to fraction form
    289,849,265.16/399,993,725.43 = 157,691,209.74/x
  3. Step 3: Cross multiply
    289,849,265.16x = 399,993,725.43 × 157,691,209.74
  4. Step 4: Simplify right side
    289,849,265.16x = 63,075,494,451,466,104
  5. Step 5: Solve for x
    x = 63,075,494,451,466,104/289,849,265.16
  6. Step 6: Final answer
    x = 217,614,815.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.