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Finding the Fourth Proportional to 457,271.70, 685,907.55 and 289,310.10

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Solution

The fourth proportional to 457,271.70, 685,907.55 and 289,310.10 is: 433,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,271.70 : 685,907.55 = 289,310.10 : x
  2. Step 2: Convert to fraction form
    457,271.70/685,907.55 = 289,310.10/x
  3. Step 3: Cross multiply
    457,271.70x = 685,907.55 × 289,310.10
  4. Step 4: Simplify right side
    457,271.70x = 198,439,981,881.26
  5. Step 5: Solve for x
    x = 198,439,981,881.26/457,271.70
  6. Step 6: Final answer
    x = 433,965.15

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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.