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Finding the Fourth Proportional to 519,964.30, 780,055.80 and 295,140.70

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Solution

The fourth proportional to 519,964.30, 780,055.80 and 295,140.70 is: 442,773.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,964.30 : 780,055.80 = 295,140.70 : x
  2. Step 2: Convert to fraction form
    519,964.30/780,055.80 = 295,140.70/x
  3. Step 3: Cross multiply
    519,964.30x = 780,055.80 × 295,140.70
  4. Step 4: Simplify right side
    519,964.30x = 230,226,214,851.06
  5. Step 5: Solve for x
    x = 230,226,214,851.06/519,964.30
  6. Step 6: Final answer
    x = 442,773.12

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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.