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Finding the Fourth Proportional to 520,215.30, 780,344.55 and 165,219.30

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Solution

The fourth proportional to 520,215.30, 780,344.55 and 165,219.30 is: 247,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,215.30 : 780,344.55 = 165,219.30 : x
  2. Step 2: Convert to fraction form
    520,215.30/780,344.55 = 165,219.30/x
  3. Step 3: Cross multiply
    520,215.30x = 780,344.55 × 165,219.30
  4. Step 4: Simplify right side
    520,215.30x = 128,927,980,309.82
  5. Step 5: Solve for x
    x = 128,927,980,309.82/520,215.30
  6. Step 6: Final answer
    x = 247,835.81

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1.5x scale

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.