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Finding the Fourth Proportional to 457,853.20, 686,196.60 and 333,048.40

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Solution

The fourth proportional to 457,853.20, 686,196.60 and 333,048.40 is: 499,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,853.20 : 686,196.60 = 333,048.40 : x
  2. Step 2: Convert to fraction form
    457,853.20/686,196.60 = 333,048.40/x
  3. Step 3: Cross multiply
    457,853.20x = 686,196.60 × 333,048.40
  4. Step 4: Simplify right side
    457,853.20x = 228,536,679,715.44
  5. Step 5: Solve for x
    x = 228,536,679,715.44/457,853.20
  6. Step 6: Final answer
    x = 499,148.37

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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.