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Finding the Fourth Proportional to 398,657,600.80, 597,986,401.20 and 374,471,130.40

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Solution

The fourth proportional to 398,657,600.80, 597,986,401.20 and 374,471,130.40 is: 561,706,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,657,600.80 : 597,986,401.20 = 374,471,130.40 : x
  2. Step 2: Convert to fraction form
    398,657,600.80/597,986,401.20 = 374,471,130.40/x
  3. Step 3: Cross multiply
    398,657,600.80x = 597,986,401.20 × 374,471,130.40
  4. Step 4: Simplify right side
    398,657,600.80x = 223,928,643,621,191,936
  5. Step 5: Solve for x
    x = 223,928,643,621,191,936/398,657,600.80
  6. Step 6: Final answer
    x = 561,706,695.60

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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.