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Finding the Fourth Proportional to 430,471.68, 645,730.44 and 130,929.36

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Solution

The fourth proportional to 430,471.68, 645,730.44 and 130,929.36 is: 196,401.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,471.68 : 645,730.44 = 130,929.36 : x
  2. Step 2: Convert to fraction form
    430,471.68/645,730.44 = 130,929.36/x
  3. Step 3: Cross multiply
    430,471.68x = 645,730.44 × 130,929.36
  4. Step 4: Simplify right side
    430,471.68x = 84,545,073,241.72
  5. Step 5: Solve for x
    x = 84,545,073,241.72/430,471.68
  6. Step 6: Final answer
    x = 196,401.01

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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.