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Finding the Fourth Proportional to 286,664.20, 430,082.70 and 153,608.20

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Solution

The fourth proportional to 286,664.20, 430,082.70 and 153,608.20 is: 230,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,664.20 : 430,082.70 = 153,608.20 : x
  2. Step 2: Convert to fraction form
    286,664.20/430,082.70 = 153,608.20/x
  3. Step 3: Cross multiply
    286,664.20x = 430,082.70 × 153,608.20
  4. Step 4: Simplify right side
    286,664.20x = 66,064,229,398.14
  5. Step 5: Solve for x
    x = 66,064,229,398.14/286,664.20
  6. Step 6: Final answer
    x = 230,458.60

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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.