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Finding the Fourth Proportional to 604,638,909.40, 906,958,364.10 and 389,471,114.20

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Solution

The fourth proportional to 604,638,909.40, 906,958,364.10 and 389,471,114.20 is: 584,206,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,638,909.40 : 906,958,364.10 = 389,471,114.20 : x
  2. Step 2: Convert to fraction form
    604,638,909.40/906,958,364.10 = 389,471,114.20/x
  3. Step 3: Cross multiply
    604,638,909.40x = 906,958,364.10 × 389,471,114.20
  4. Step 4: Simplify right side
    604,638,909.40x = 353,234,084,599,036,288
  5. Step 5: Solve for x
    x = 353,234,084,599,036,288/604,638,909.40
  6. Step 6: Final answer
    x = 584,206,671.30

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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.