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Finding the Fourth Proportional to 497,665,645.20, 746,871,715.80 and 255,203,744.40

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Solution

The fourth proportional to 497,665,645.20, 746,871,715.80 and 255,203,744.40 is: 382,997,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,665,645.20 : 746,871,715.80 = 255,203,744.40 : x
  2. Step 2: Convert to fraction form
    497,665,645.20/746,871,715.80 = 255,203,744.40/x
  3. Step 3: Cross multiply
    497,665,645.20x = 746,871,715.80 × 255,203,744.40
  4. Step 4: Simplify right side
    497,665,645.20x = 190,604,458,458,612,640
  5. Step 5: Solve for x
    x = 190,604,458,458,612,640/497,665,645.20
  6. Step 6: Final answer
    x = 382,997,018.78

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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.