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Finding the Fourth Proportional to 379,430.49, 569,168.01 and 142,775.22

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Solution

The fourth proportional to 379,430.49, 569,168.01 and 142,775.22 is: 214,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,430.49 : 569,168.01 = 142,775.22 : x
  2. Step 2: Convert to fraction form
    379,430.49/569,168.01 = 142,775.22/x
  3. Step 3: Cross multiply
    379,430.49x = 569,168.01 × 142,775.22
  4. Step 4: Simplify right side
    379,430.49x = 81,263,087,844.71
  5. Step 5: Solve for x
    x = 81,263,087,844.71/379,430.49
  6. Step 6: Final answer
    x = 214,171.21

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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.