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Finding the Fourth Proportional to 435,763.86, 653,683.44 and 120,220.76

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Solution

The fourth proportional to 435,763.86, 653,683.44 and 120,220.76 is: 180,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,763.86 : 653,683.44 = 120,220.76 : x
  2. Step 2: Convert to fraction form
    435,763.86/653,683.44 = 120,220.76/x
  3. Step 3: Cross multiply
    435,763.86x = 653,683.44 × 120,220.76
  4. Step 4: Simplify right side
    435,763.86x = 78,586,319,956.21
  5. Step 5: Solve for x
    x = 78,586,319,956.21/435,763.86
  6. Step 6: Final answer
    x = 180,341.53

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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.