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Finding the Fourth Proportional to 520,076.10, 780,200.55 and 204,543.30

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Solution

The fourth proportional to 520,076.10, 780,200.55 and 204,543.30 is: 306,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,076.10 : 780,200.55 = 204,543.30 : x
  2. Step 2: Convert to fraction form
    520,076.10/780,200.55 = 204,543.30/x
  3. Step 3: Cross multiply
    520,076.10x = 780,200.55 × 204,543.30
  4. Step 4: Simplify right side
    520,076.10x = 159,584,795,158.82
  5. Step 5: Solve for x
    x = 159,584,795,158.82/520,076.10
  6. Step 6: Final answer
    x = 306,848.93

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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.