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Finding the Fourth Proportional to 234,123.20, 350,407.20 and 164,139.20

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Solution

The fourth proportional to 234,123.20, 350,407.20 and 164,139.20 is: 245,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,123.20 : 350,407.20 = 164,139.20 : x
  2. Step 2: Convert to fraction form
    234,123.20/350,407.20 = 164,139.20/x
  3. Step 3: Cross multiply
    234,123.20x = 350,407.20 × 164,139.20
  4. Step 4: Simplify right side
    234,123.20x = 57,515,557,482.24
  5. Step 5: Solve for x
    x = 57,515,557,482.24/234,123.20
  6. Step 6: Final answer
    x = 245,663.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.