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Finding the Fourth Proportional to 457,465.60, 686,198.40 and 431,804.80

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Solution

The fourth proportional to 457,465.60, 686,198.40 and 431,804.80 is: 647,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,465.60 : 686,198.40 = 431,804.80 : x
  2. Step 2: Convert to fraction form
    457,465.60/686,198.40 = 431,804.80/x
  3. Step 3: Cross multiply
    457,465.60x = 686,198.40 × 431,804.80
  4. Step 4: Simplify right side
    457,465.60x = 296,303,762,872.32
  5. Step 5: Solve for x
    x = 296,303,762,872.32/457,465.60
  6. Step 6: Final answer
    x = 647,707.20

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Similar ratio
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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.