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Finding the Fourth Proportional to 457,834.80, 686,752.20 and 434,506.80

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Solution

The fourth proportional to 457,834.80, 686,752.20 and 434,506.80 is: 651,760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,834.80 : 686,752.20 = 434,506.80 : x
  2. Step 2: Convert to fraction form
    457,834.80/686,752.20 = 434,506.80/x
  3. Step 3: Cross multiply
    457,834.80x = 686,752.20 × 434,506.80
  4. Step 4: Simplify right side
    457,834.80x = 298,398,500,814.96
  5. Step 5: Solve for x
    x = 298,398,500,814.96/457,834.80
  6. Step 6: Final answer
    x = 651,760.20

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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.