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Finding the Fourth Proportional to 620,204.13, 930,438.70 and 215,408.86

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Solution

The fourth proportional to 620,204.13, 930,438.70 and 215,408.86 is: 323,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,204.13 : 930,438.70 = 215,408.86 : x
  2. Step 2: Convert to fraction form
    620,204.13/930,438.70 = 215,408.86/x
  3. Step 3: Cross multiply
    620,204.13x = 930,438.70 × 215,408.86
  4. Step 4: Simplify right side
    620,204.13x = 200,424,736,802.26
  5. Step 5: Solve for x
    x = 200,424,736,802.26/620,204.13
  6. Step 6: Final answer
    x = 323,159.31

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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.