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Finding the Fourth Proportional to 400,327.74, 600,728.76 and 147,784.32

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Solution

The fourth proportional to 400,327.74, 600,728.76 and 147,784.32 is: 221,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,327.74 : 600,728.76 = 147,784.32 : x
  2. Step 2: Convert to fraction form
    400,327.74/600,728.76 = 147,784.32/x
  3. Step 3: Cross multiply
    400,327.74x = 600,728.76 × 147,784.32
  4. Step 4: Simplify right side
    400,327.74x = 88,778,291,301.04
  5. Step 5: Solve for x
    x = 88,778,291,301.04/400,327.74
  6. Step 6: Final answer
    x = 221,764.03

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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.