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Finding the Fourth Proportional to 230,435.40, 345,669.30 and 130,643.40

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Solution

The fourth proportional to 230,435.40, 345,669.30 and 130,643.40 is: 195,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,435.40 : 345,669.30 = 130,643.40 : x
  2. Step 2: Convert to fraction form
    230,435.40/345,669.30 = 130,643.40/x
  3. Step 3: Cross multiply
    230,435.40x = 345,669.30 × 130,643.40
  4. Step 4: Simplify right side
    230,435.40x = 45,159,412,627.62
  5. Step 5: Solve for x
    x = 45,159,412,627.62/230,435.40
  6. Step 6: Final answer
    x = 195,974.28

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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.