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Finding the Fourth Proportional to 354,742.80, 531,239.40 and 265,513.20

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Solution

The fourth proportional to 354,742.80, 531,239.40 and 265,513.20 is: 397,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,742.80 : 531,239.40 = 265,513.20 : x
  2. Step 2: Convert to fraction form
    354,742.80/531,239.40 = 265,513.20/x
  3. Step 3: Cross multiply
    354,742.80x = 531,239.40 × 265,513.20
  4. Step 4: Simplify right side
    354,742.80x = 141,051,073,060.08
  5. Step 5: Solve for x
    x = 141,051,073,060.08/354,742.80
  6. Step 6: Final answer
    x = 397,615.04

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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.