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Finding the Fourth Proportional to 298,933,306.40, 448,470,818.40 and 153,389,331.20

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Solution

The fourth proportional to 298,933,306.40, 448,470,818.40 and 153,389,331.20 is: 230,120,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,933,306.40 : 448,470,818.40 = 153,389,331.20 : x
  2. Step 2: Convert to fraction form
    298,933,306.40/448,470,818.40 = 153,389,331.20/x
  3. Step 3: Cross multiply
    298,933,306.40x = 448,470,818.40 × 153,389,331.20
  4. Step 4: Simplify right side
    298,933,306.40x = 68,790,638,897,092,648
  5. Step 5: Solve for x
    x = 68,790,638,897,092,648/298,933,306.40
  6. Step 6: Final answer
    x = 230,120,356.03

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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.