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Finding the Fourth Proportional to 447,748.48, 671,622 and 307,080.64

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Solution

The fourth proportional to 447,748.48, 671,622 and 307,080.64 is: 460,620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,748.48 : 671,622 = 307,080.64 : x
  2. Step 2: Convert to fraction form
    447,748.48/671,622 = 307,080.64/x
  3. Step 3: Cross multiply
    447,748.48x = 671,622 × 307,080.64
  4. Step 4: Simplify right side
    447,748.48x = 206,242,113,598.08
  5. Step 5: Solve for x
    x = 206,242,113,598.08/447,748.48
  6. Step 6: Final answer
    x = 460,620.47

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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.