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Finding the Fourth Proportional to 604,638,904.40, 906,958,356.60 and 389,471,109.20

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Solution

The fourth proportional to 604,638,904.40, 906,958,356.60 and 389,471,109.20 is: 584,206,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,638,904.40 : 906,958,356.60 = 389,471,109.20 : x
  2. Step 2: Convert to fraction form
    604,638,904.40/906,958,356.60 = 389,471,109.20/x
  3. Step 3: Cross multiply
    604,638,904.40x = 906,958,356.60 × 389,471,109.20
  4. Step 4: Simplify right side
    604,638,904.40x = 353,234,077,143,211,136
  5. Step 5: Solve for x
    x = 353,234,077,143,211,136/604,638,904.40
  6. Step 6: Final answer
    x = 584,206,663.80

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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.