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Finding the Fourth Proportional to 431,462.69, 647,528.21 and 347,428.63

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Solution

The fourth proportional to 431,462.69, 647,528.21 and 347,428.63 is: 521,412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,462.69 : 647,528.21 = 347,428.63 : x
  2. Step 2: Convert to fraction form
    431,462.69/647,528.21 = 347,428.63/x
  3. Step 3: Cross multiply
    431,462.69x = 647,528.21 × 347,428.63
  4. Step 4: Simplify right side
    431,462.69x = 224,969,838,886.65
  5. Step 5: Solve for x
    x = 224,969,838,886.65/431,462.69
  6. Step 6: Final answer
    x = 521,412.03

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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.