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Finding the Fourth Proportional to 645,794,798.09, 891,472,297.23 and 434,224,260.86

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Solution

The fourth proportional to 645,794,798.09, 891,472,297.23 and 434,224,260.86 is: 599,414,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,794,798.09 : 891,472,297.23 = 434,224,260.86 : x
  2. Step 2: Convert to fraction form
    645,794,798.09/891,472,297.23 = 434,224,260.86/x
  3. Step 3: Cross multiply
    645,794,798.09x = 891,472,297.23 × 434,224,260.86
  4. Step 4: Simplify right side
    645,794,798.09x = 387,098,899,337,405,632
  5. Step 5: Solve for x
    x = 387,098,899,337,405,632/645,794,798.09
  6. Step 6: Final answer
    x = 599,414,706.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.