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Finding the Fourth Proportional to 382,041.72, 573,228.18 and 145,451.64

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Solution

The fourth proportional to 382,041.72, 573,228.18 and 145,451.64 is: 218,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,041.72 : 573,228.18 = 145,451.64 : x
  2. Step 2: Convert to fraction form
    382,041.72/573,228.18 = 145,451.64/x
  3. Step 3: Cross multiply
    382,041.72x = 573,228.18 × 145,451.64
  4. Step 4: Simplify right side
    382,041.72x = 83,376,978,875.22
  5. Step 5: Solve for x
    x = 83,376,978,875.22/382,041.72
  6. Step 6: Final answer
    x = 218,240.51

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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.