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Finding the Fourth Proportional to 404,352,002.40, 606,528,003.60 and 398,305,384.80

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Solution

The fourth proportional to 404,352,002.40, 606,528,003.60 and 398,305,384.80 is: 597,458,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,352,002.40 : 606,528,003.60 = 398,305,384.80 : x
  2. Step 2: Convert to fraction form
    404,352,002.40/606,528,003.60 = 398,305,384.80/x
  3. Step 3: Cross multiply
    404,352,002.40x = 606,528,003.60 × 398,305,384.80
  4. Step 4: Simplify right side
    404,352,002.40x = 241,583,369,865,873,792
  5. Step 5: Solve for x
    x = 241,583,369,865,873,792/404,352,002.40
  6. Step 6: Final answer
    x = 597,458,077.20

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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.