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Finding the Fourth Proportional to 265,429.60, 397,606.80 and 165,282.40

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Solution

The fourth proportional to 265,429.60, 397,606.80 and 165,282.40 is: 247,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,429.60 : 397,606.80 = 165,282.40 : x
  2. Step 2: Convert to fraction form
    265,429.60/397,606.80 = 165,282.40/x
  3. Step 3: Cross multiply
    265,429.60x = 397,606.80 × 165,282.40
  4. Step 4: Simplify right side
    265,429.60x = 65,717,406,160.32
  5. Step 5: Solve for x
    x = 65,717,406,160.32/265,429.60
  6. Step 6: Final answer
    x = 247,588.84

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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.