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Finding the Fourth Proportional to 520,722.16, 781,089.72 and 165,734.80

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Solution

The fourth proportional to 520,722.16, 781,089.72 and 165,734.80 is: 248,604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,722.16 : 781,089.72 = 165,734.80 : x
  2. Step 2: Convert to fraction form
    520,722.16/781,089.72 = 165,734.80/x
  3. Step 3: Cross multiply
    520,722.16x = 781,089.72 × 165,734.80
  4. Step 4: Simplify right side
    520,722.16x = 129,453,748,526.26
  5. Step 5: Solve for x
    x = 129,453,748,526.26/520,722.16
  6. Step 6: Final answer
    x = 248,604.26

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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.