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Finding the Fourth Proportional to 489,642,016.40, 734,463,024.60 and 162,168,072.20

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Solution

The fourth proportional to 489,642,016.40, 734,463,024.60 and 162,168,072.20 is: 243,252,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,642,016.40 : 734,463,024.60 = 162,168,072.20 : x
  2. Step 2: Convert to fraction form
    489,642,016.40/734,463,024.60 = 162,168,072.20/x
  3. Step 3: Cross multiply
    489,642,016.40x = 734,463,024.60 × 162,168,072.20
  4. Step 4: Simplify right side
    489,642,016.40x = 119,106,452,801,563,168
  5. Step 5: Solve for x
    x = 119,106,452,801,563,168/489,642,016.40
  6. Step 6: Final answer
    x = 243,252,108.30

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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.