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Finding the Fourth Proportional to 291,420.98, 402,199.25 and 164,121.46

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Solution

The fourth proportional to 291,420.98, 402,199.25 and 164,121.46 is: 226,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,420.98 : 402,199.25 = 164,121.46 : x
  2. Step 2: Convert to fraction form
    291,420.98/402,199.25 = 164,121.46/x
  3. Step 3: Cross multiply
    291,420.98x = 402,199.25 × 164,121.46
  4. Step 4: Simplify right side
    291,420.98x = 66,009,528,120.91
  5. Step 5: Solve for x
    x = 66,009,528,120.91/291,420.98
  6. Step 6: Final answer
    x = 226,509.18

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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.