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Finding the Fourth Proportional to 288,445.50, 432,709.25 and 88,782.53

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Solution

The fourth proportional to 288,445.50, 432,709.25 and 88,782.53 is: 133,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,445.50 : 432,709.25 = 88,782.53 : x
  2. Step 2: Convert to fraction form
    288,445.50/432,709.25 = 88,782.53/x
  3. Step 3: Cross multiply
    288,445.50x = 432,709.25 × 88,782.53
  4. Step 4: Simplify right side
    288,445.50x = 38,417,019,361.94
  5. Step 5: Solve for x
    x = 38,417,019,361.94/288,445.50
  6. Step 6: Final answer
    x = 133,186.41

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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.