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Finding the Fourth Proportional to 647,561,507.49, 971,124,758.01 and 210,759,465.42

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Solution

The fourth proportional to 647,561,507.49, 971,124,758.01 and 210,759,465.42 is: 316,068,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,561,507.49 : 971,124,758.01 = 210,759,465.42 : x
  2. Step 2: Convert to fraction form
    647,561,507.49/971,124,758.01 = 210,759,465.42/x
  3. Step 3: Cross multiply
    647,561,507.49x = 971,124,758.01 × 210,759,465.42
  4. Step 4: Simplify right side
    647,561,507.49x = 204,673,734,854,314,464
  5. Step 5: Solve for x
    x = 204,673,734,854,314,464/647,561,507.49
  6. Step 6: Final answer
    x = 316,068,408.15

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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.