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Finding the Fourth Proportional to 409,689,969.60, 614,534,954.40 and 382,480,190.40

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Solution

The fourth proportional to 409,689,969.60, 614,534,954.40 and 382,480,190.40 is: 573,720,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,689,969.60 : 614,534,954.40 = 382,480,190.40 : x
  2. Step 2: Convert to fraction form
    409,689,969.60/614,534,954.40 = 382,480,190.40/x
  3. Step 3: Cross multiply
    409,689,969.60x = 614,534,954.40 × 382,480,190.40
  4. Step 4: Simplify right side
    409,689,969.60x = 235,047,446,366,367,296
  5. Step 5: Solve for x
    x = 235,047,446,366,367,296/409,689,969.60
  6. Step 6: Final answer
    x = 573,720,285.60

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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.