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Finding the Fourth Proportional to 403,404,923.60, 605,107,385.40 and 400,381,614.80

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Solution

The fourth proportional to 403,404,923.60, 605,107,385.40 and 400,381,614.80 is: 600,572,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,404,923.60 : 605,107,385.40 = 400,381,614.80 : x
  2. Step 2: Convert to fraction form
    403,404,923.60/605,107,385.40 = 400,381,614.80/x
  3. Step 3: Cross multiply
    403,404,923.60x = 605,107,385.40 × 400,381,614.80
  4. Step 4: Simplify right side
    403,404,923.60x = 242,273,872,093,857,952
  5. Step 5: Solve for x
    x = 242,273,872,093,857,952/403,404,923.60
  6. Step 6: Final answer
    x = 600,572,422.20

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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.