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Finding the Fourth Proportional to 382,215.15, 573,320.70 and 97,905.15

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Solution

The fourth proportional to 382,215.15, 573,320.70 and 97,905.15 is: 146,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,215.15 : 573,320.70 = 97,905.15 : x
  2. Step 2: Convert to fraction form
    382,215.15/573,320.70 = 97,905.15/x
  3. Step 3: Cross multiply
    382,215.15x = 573,320.70 × 97,905.15
  4. Step 4: Simplify right side
    382,215.15x = 56,131,049,131.61
  5. Step 5: Solve for x
    x = 56,131,049,131.61/382,215.15
  6. Step 6: Final answer
    x = 146,857.21

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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.