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Finding the Fourth Proportional to 520,073.85, 780,247.46 and 165,087.30

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Solution

The fourth proportional to 520,073.85, 780,247.46 and 165,087.30 is: 247,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,073.85 : 780,247.46 = 165,087.30 : x
  2. Step 2: Convert to fraction form
    520,073.85/780,247.46 = 165,087.30/x
  3. Step 3: Cross multiply
    520,073.85x = 780,247.46 × 165,087.30
  4. Step 4: Simplify right side
    520,073.85x = 128,808,946,915.98
  5. Step 5: Solve for x
    x = 128,808,946,915.98/520,073.85
  6. Step 6: Final answer
    x = 247,674.34

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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.