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Finding the Fourth Proportional to 430,037.30, 645,058.01 and 130,520.48

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Solution

The fourth proportional to 430,037.30, 645,058.01 and 130,520.48 is: 195,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,037.30 : 645,058.01 = 130,520.48 : x
  2. Step 2: Convert to fraction form
    430,037.30/645,058.01 = 130,520.48/x
  3. Step 3: Cross multiply
    430,037.30x = 645,058.01 × 130,520.48
  4. Step 4: Simplify right side
    430,037.30x = 84,193,278,194.06
  5. Step 5: Solve for x
    x = 84,193,278,194.06/430,037.30
  6. Step 6: Final answer
    x = 195,781.34

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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.