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Finding the Fourth Proportional to 519,832.40, 780,007.80 and 295,365.20

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Solution

The fourth proportional to 519,832.40, 780,007.80 and 295,365.20 is: 443,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,832.40 : 780,007.80 = 295,365.20 : x
  2. Step 2: Convert to fraction form
    519,832.40/780,007.80 = 295,365.20/x
  3. Step 3: Cross multiply
    519,832.40x = 780,007.80 × 295,365.20
  4. Step 4: Simplify right side
    519,832.40x = 230,387,159,848.56
  5. Step 5: Solve for x
    x = 230,387,159,848.56/519,832.40
  6. Step 6: Final answer
    x = 443,195.08

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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.