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Finding the Fourth Proportional to 448,637.82, 671,375.91 and 280,237.46

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Solution

The fourth proportional to 448,637.82, 671,375.91 and 280,237.46 is: 419,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,637.82 : 671,375.91 = 280,237.46 : x
  2. Step 2: Convert to fraction form
    448,637.82/671,375.91 = 280,237.46/x
  3. Step 3: Cross multiply
    448,637.82x = 671,375.91 × 280,237.46
  4. Step 4: Simplify right side
    448,637.82x = 188,144,676,366.71
  5. Step 5: Solve for x
    x = 188,144,676,366.71/448,637.82
  6. Step 6: Final answer
    x = 419,368.74

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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.