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Finding the Fourth Proportional to 498,230,998.80, 747,346,498.20 and 265,778,705.40

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Solution

The fourth proportional to 498,230,998.80, 747,346,498.20 and 265,778,705.40 is: 398,668,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,230,998.80 : 747,346,498.20 = 265,778,705.40 : x
  2. Step 2: Convert to fraction form
    498,230,998.80/747,346,498.20 = 265,778,705.40/x
  3. Step 3: Cross multiply
    498,230,998.80x = 747,346,498.20 × 265,778,705.40
  4. Step 4: Simplify right side
    498,230,998.80x = 198,628,784,776,819,456
  5. Step 5: Solve for x
    x = 198,628,784,776,819,456/498,230,998.80
  6. Step 6: Final answer
    x = 398,668,058.10

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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.