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Finding the Fourth Proportional to 265,738,399.20, 398,607,598.80 and 156,451,384.80

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Solution

The fourth proportional to 265,738,399.20, 398,607,598.80 and 156,451,384.80 is: 234,677,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,738,399.20 : 398,607,598.80 = 156,451,384.80 : x
  2. Step 2: Convert to fraction form
    265,738,399.20/398,607,598.80 = 156,451,384.80/x
  3. Step 3: Cross multiply
    265,738,399.20x = 398,607,598.80 × 156,451,384.80
  4. Step 4: Simplify right side
    265,738,399.20x = 62,362,710,824,062,824
  5. Step 5: Solve for x
    x = 62,362,710,824,062,824/265,738,399.20
  6. Step 6: Final answer
    x = 234,677,077.20

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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.