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Finding the Fourth Proportional to 517,871.60, 776,490.60 and 201,964.40

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Solution

The fourth proportional to 517,871.60, 776,490.60 and 201,964.40 is: 302,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,871.60 : 776,490.60 = 201,964.40 : x
  2. Step 2: Convert to fraction form
    517,871.60/776,490.60 = 201,964.40/x
  3. Step 3: Cross multiply
    517,871.60x = 776,490.60 × 201,964.40
  4. Step 4: Simplify right side
    517,871.60x = 156,823,458,134.64
  5. Step 5: Solve for x
    x = 156,823,458,134.64/517,871.60
  6. Step 6: Final answer
    x = 302,823.05

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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.