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Finding the Fourth Proportional to 650,851, 976,293.90 and 207,619

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Solution

The fourth proportional to 650,851, 976,293.90 and 207,619 is: 311,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,851 : 976,293.90 = 207,619 : x
  2. Step 2: Convert to fraction form
    650,851/976,293.90 = 207,619/x
  3. Step 3: Cross multiply
    650,851x = 976,293.90 × 207,619
  4. Step 4: Simplify right side
    650,851x = 202,697,163,224.10
  5. Step 5: Solve for x
    x = 202,697,163,224.10/650,851
  6. Step 6: Final answer
    x = 311,434.05

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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.