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Finding the Fourth Proportional to 457,166.60, 686,138.70 and 204,835.40

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Solution

The fourth proportional to 457,166.60, 686,138.70 and 204,835.40 is: 307,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,166.60 : 686,138.70 = 204,835.40 : x
  2. Step 2: Convert to fraction form
    457,166.60/686,138.70 = 204,835.40/x
  3. Step 3: Cross multiply
    457,166.60x = 686,138.70 × 204,835.40
  4. Step 4: Simplify right side
    457,166.60x = 140,545,495,069.98
  5. Step 5: Solve for x
    x = 140,545,495,069.98/457,166.60
  6. Step 6: Final answer
    x = 307,427.30

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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.