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Finding the Fourth Proportional to 397,210.56, 595,855.20 and 130,973.76

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Solution

The fourth proportional to 397,210.56, 595,855.20 and 130,973.76 is: 196,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,210.56 : 595,855.20 = 130,973.76 : x
  2. Step 2: Convert to fraction form
    397,210.56/595,855.20 = 130,973.76/x
  3. Step 3: Cross multiply
    397,210.56x = 595,855.20 × 130,973.76
  4. Step 4: Simplify right side
    397,210.56x = 78,041,395,959.55
  5. Step 5: Solve for x
    x = 78,041,395,959.55/397,210.56
  6. Step 6: Final answer
    x = 196,473.62

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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.