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Finding the Fourth Proportional to 520,210.80, 780,337.80 and 165,214.80

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Solution

The fourth proportional to 520,210.80, 780,337.80 and 165,214.80 is: 247,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,210.80 : 780,337.80 = 165,214.80 : x
  2. Step 2: Convert to fraction form
    520,210.80/780,337.80 = 165,214.80/x
  3. Step 3: Cross multiply
    520,210.80x = 780,337.80 × 165,214.80
  4. Step 4: Simplify right side
    520,210.80x = 128,923,353,559.44
  5. Step 5: Solve for x
    x = 128,923,353,559.44/520,210.80
  6. Step 6: Final answer
    x = 247,829.06

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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.