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Finding the Fourth Proportional to 218,770.41, 301,903.16 and 123,280.52

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Solution

The fourth proportional to 218,770.41, 301,903.16 and 123,280.52 is: 170,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,770.41 : 301,903.16 = 123,280.52 : x
  2. Step 2: Convert to fraction form
    218,770.41/301,903.16 = 123,280.52/x
  3. Step 3: Cross multiply
    218,770.41x = 301,903.16 × 123,280.52
  4. Step 4: Simplify right side
    218,770.41x = 37,218,776,428.52
  5. Step 5: Solve for x
    x = 37,218,776,428.52/218,770.41
  6. Step 6: Final answer
    x = 170,127.10

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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.