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Finding the Fourth Proportional to 519,930.40, 780,154.80 and 295,463.20

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Solution

The fourth proportional to 519,930.40, 780,154.80 and 295,463.20 is: 443,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,930.40 : 780,154.80 = 295,463.20 : x
  2. Step 2: Convert to fraction form
    519,930.40/780,154.80 = 295,463.20/x
  3. Step 3: Cross multiply
    519,930.40x = 780,154.80 × 295,463.20
  4. Step 4: Simplify right side
    519,930.40x = 230,507,033,703.36
  5. Step 5: Solve for x
    x = 230,507,033,703.36/519,930.40
  6. Step 6: Final answer
    x = 443,342.10

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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.