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Finding the Fourth Proportional to 431,461.69, 647,526.71 and 347,427.63

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Solution

The fourth proportional to 431,461.69, 647,526.71 and 347,427.63 is: 521,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,461.69 : 647,526.71 = 347,427.63 : x
  2. Step 2: Convert to fraction form
    431,461.69/647,526.71 = 347,427.63/x
  3. Step 3: Cross multiply
    431,461.69x = 647,526.71 × 347,427.63
  4. Step 4: Simplify right side
    431,461.69x = 224,968,670,217.00
  5. Step 5: Solve for x
    x = 224,968,670,217.00/431,461.69
  6. Step 6: Final answer
    x = 521,410.53

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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.