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Finding the Fourth Proportional to 299,077.72, 448,140.60 and 209,290.43

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Solution

The fourth proportional to 299,077.72, 448,140.60 and 209,290.43 is: 313,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,077.72 : 448,140.60 = 209,290.43 : x
  2. Step 2: Convert to fraction form
    299,077.72/448,140.60 = 209,290.43/x
  3. Step 3: Cross multiply
    299,077.72x = 448,140.60 × 209,290.43
  4. Step 4: Simplify right side
    299,077.72x = 93,791,539,994.81
  5. Step 5: Solve for x
    x = 93,791,539,994.81/299,077.72
  6. Step 6: Final answer
    x = 313,602.57

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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.