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Finding the Fourth Proportional to 379,786, 569,680.24 and 143,065.12

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Solution

The fourth proportional to 379,786, 569,680.24 and 143,065.12 is: 214,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,786 : 569,680.24 = 143,065.12 : x
  2. Step 2: Convert to fraction form
    379,786/569,680.24 = 143,065.12/x
  3. Step 3: Cross multiply
    379,786x = 569,680.24 × 143,065.12
  4. Step 4: Simplify right side
    379,786x = 81,501,371,897.23
  5. Step 5: Solve for x
    x = 81,501,371,897.23/379,786
  6. Step 6: Final answer
    x = 214,598.15

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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.