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Finding the Fourth Proportional to 260,311.92, 390,421.80 and 73,322.16

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Solution

The fourth proportional to 260,311.92, 390,421.80 and 73,322.16 is: 109,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,311.92 : 390,421.80 = 73,322.16 : x
  2. Step 2: Convert to fraction form
    260,311.92/390,421.80 = 73,322.16/x
  3. Step 3: Cross multiply
    260,311.92x = 390,421.80 × 73,322.16
  4. Step 4: Simplify right side
    260,311.92x = 28,626,569,687.09
  5. Step 5: Solve for x
    x = 28,626,569,687.09/260,311.92
  6. Step 6: Final answer
    x = 109,970.26

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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.