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Finding the Fourth Proportional to 457,709.60, 686,564.40 and 270,624.80

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Solution

The fourth proportional to 457,709.60, 686,564.40 and 270,624.80 is: 405,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,709.60 : 686,564.40 = 270,624.80 : x
  2. Step 2: Convert to fraction form
    457,709.60/686,564.40 = 270,624.80/x
  3. Step 3: Cross multiply
    457,709.60x = 686,564.40 × 270,624.80
  4. Step 4: Simplify right side
    457,709.60x = 185,801,353,437.12
  5. Step 5: Solve for x
    x = 185,801,353,437.12/457,709.60
  6. Step 6: Final answer
    x = 405,937.20

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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.