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Finding the Fourth Proportional to 404,485,401.60, 606,728,102.40 and 400,454,323.20

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Solution

The fourth proportional to 404,485,401.60, 606,728,102.40 and 400,454,323.20 is: 600,681,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,485,401.60 : 606,728,102.40 = 400,454,323.20 : x
  2. Step 2: Convert to fraction form
    404,485,401.60/606,728,102.40 = 400,454,323.20/x
  3. Step 3: Cross multiply
    404,485,401.60x = 606,728,102.40 × 400,454,323.20
  4. Step 4: Simplify right side
    404,485,401.60x = 242,966,891,613,012,288
  5. Step 5: Solve for x
    x = 242,966,891,613,012,288/404,485,401.60
  6. Step 6: Final answer
    x = 600,681,484.80

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1.5x scale

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.