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Finding the Fourth Proportional to 382,364.40, 573,561.20 and 142,537.98

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Solution

The fourth proportional to 382,364.40, 573,561.20 and 142,537.98 is: 213,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,364.40 : 573,561.20 = 142,537.98 : x
  2. Step 2: Convert to fraction form
    382,364.40/573,561.20 = 142,537.98/x
  3. Step 3: Cross multiply
    382,364.40x = 573,561.20 × 142,537.98
  4. Step 4: Simplify right side
    382,364.40x = 81,754,254,141.69
  5. Step 5: Solve for x
    x = 81,754,254,141.69/382,364.40
  6. Step 6: Final answer
    x = 213,812.41

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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.