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Finding the Fourth Proportional to 218,858.10, 302,015.43 and 123,384.63

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Solution

The fourth proportional to 218,858.10, 302,015.43 and 123,384.63 is: 170,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,858.10 : 302,015.43 = 123,384.63 : x
  2. Step 2: Convert to fraction form
    218,858.10/302,015.43 = 123,384.63/x
  3. Step 3: Cross multiply
    218,858.10x = 302,015.43 × 123,384.63
  4. Step 4: Simplify right side
    218,858.10x = 37,264,062,084.84
  5. Step 5: Solve for x
    x = 37,264,062,084.84/218,858.10
  6. Step 6: Final answer
    x = 170,265.86

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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.