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Finding the Fourth Proportional to 382,029.98, 573,064.01 and 145,391

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Solution

The fourth proportional to 382,029.98, 573,064.01 and 145,391 is: 218,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,029.98 : 573,064.01 = 145,391 : x
  2. Step 2: Convert to fraction form
    382,029.98/573,064.01 = 145,391/x
  3. Step 3: Cross multiply
    382,029.98x = 573,064.01 × 145,391
  4. Step 4: Simplify right side
    382,029.98x = 83,318,349,477.91
  5. Step 5: Solve for x
    x = 83,318,349,477.91/382,029.98
  6. Step 6: Final answer
    x = 218,093.75

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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.