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Finding the Fourth Proportional to 419,908,041.60, 629,862,062.40 and 382,284,643.20

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Solution

The fourth proportional to 419,908,041.60, 629,862,062.40 and 382,284,643.20 is: 573,426,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,908,041.60 : 629,862,062.40 = 382,284,643.20 : x
  2. Step 2: Convert to fraction form
    419,908,041.60/629,862,062.40 = 382,284,643.20/x
  3. Step 3: Cross multiply
    419,908,041.60x = 629,862,062.40 × 382,284,643.20
  4. Step 4: Simplify right side
    419,908,041.60x = 240,786,593,789,800,128
  5. Step 5: Solve for x
    x = 240,786,593,789,800,128/419,908,041.60
  6. Step 6: Final answer
    x = 573,426,964.80

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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.