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Finding the Fourth Proportional to 382,720.32, 573,705.72 and 142,658.46

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Solution

The fourth proportional to 382,720.32, 573,705.72 and 142,658.46 is: 213,848.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,720.32 : 573,705.72 = 142,658.46 : x
  2. Step 2: Convert to fraction form
    382,720.32/573,705.72 = 142,658.46/x
  3. Step 3: Cross multiply
    382,720.32x = 573,705.72 × 142,658.46
  4. Step 4: Simplify right side
    382,720.32x = 81,843,974,508.39
  5. Step 5: Solve for x
    x = 81,843,974,508.39/382,720.32
  6. Step 6: Final answer
    x = 213,848.00

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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.