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Finding the Fourth Proportional to 297,381.47, 410,386.70 and 161,415.36

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Solution

The fourth proportional to 297,381.47, 410,386.70 and 161,415.36 is: 222,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,381.47 : 410,386.70 = 161,415.36 : x
  2. Step 2: Convert to fraction form
    297,381.47/410,386.70 = 161,415.36/x
  3. Step 3: Cross multiply
    297,381.47x = 410,386.70 × 161,415.36
  4. Step 4: Simplify right side
    297,381.47x = 66,242,716,112.64
  5. Step 5: Solve for x
    x = 66,242,716,112.64/297,381.47
  6. Step 6: Final answer
    x = 222,753.35

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1.5x scale

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.