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Finding the Fourth Proportional to 520,869.30, 780,137.55 and 310,917.30

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Solution

The fourth proportional to 520,869.30, 780,137.55 and 310,917.30 is: 465,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,869.30 : 780,137.55 = 310,917.30 : x
  2. Step 2: Convert to fraction form
    520,869.30/780,137.55 = 310,917.30/x
  3. Step 3: Cross multiply
    520,869.30x = 780,137.55 × 310,917.30
  4. Step 4: Simplify right side
    520,869.30x = 242,558,260,674.62
  5. Step 5: Solve for x
    x = 242,558,260,674.62/520,869.30
  6. Step 6: Final answer
    x = 465,679.70

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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.