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Finding the Fourth Proportional to 209,952,287.20, 314,928,430.80 and 155,532,728.80

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Solution

The fourth proportional to 209,952,287.20, 314,928,430.80 and 155,532,728.80 is: 233,299,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,287.20 : 314,928,430.80 = 155,532,728.80 : x
  2. Step 2: Convert to fraction form
    209,952,287.20/314,928,430.80 = 155,532,728.80/x
  3. Step 3: Cross multiply
    209,952,287.20x = 314,928,430.80 × 155,532,728.80
  4. Step 4: Simplify right side
    209,952,287.20x = 48,981,678,219,025,976
  5. Step 5: Solve for x
    x = 48,981,678,219,025,976/209,952,287.20
  6. Step 6: Final answer
    x = 233,299,093.20

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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.