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Finding the Fourth Proportional to 295,750.82, 407,711.31 and 210,720.26

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Solution

The fourth proportional to 295,750.82, 407,711.31 and 210,720.26 is: 290,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,750.82 : 407,711.31 = 210,720.26 : x
  2. Step 2: Convert to fraction form
    295,750.82/407,711.31 = 210,720.26/x
  3. Step 3: Cross multiply
    295,750.82x = 407,711.31 × 210,720.26
  4. Step 4: Simplify right side
    295,750.82x = 85,913,033,248.14
  5. Step 5: Solve for x
    x = 85,913,033,248.14/295,750.82
  6. Step 6: Final answer
    x = 290,491.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.