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Finding the Fourth Proportional to 520,122.78, 780,184.35 and 340,359.71

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Solution

The fourth proportional to 520,122.78, 780,184.35 and 340,359.71 is: 510,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,122.78 : 780,184.35 = 340,359.71 : x
  2. Step 2: Convert to fraction form
    520,122.78/780,184.35 = 340,359.71/x
  3. Step 3: Cross multiply
    520,122.78x = 780,184.35 × 340,359.71
  4. Step 4: Simplify right side
    520,122.78x = 265,543,315,211.62
  5. Step 5: Solve for x
    x = 265,543,315,211.62/520,122.78
  6. Step 6: Final answer
    x = 510,539.68

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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.