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Finding the Fourth Proportional to 430,901.20, 646,384.20 and 115,351.12

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Solution

The fourth proportional to 430,901.20, 646,384.20 and 115,351.12 is: 173,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,901.20 : 646,384.20 = 115,351.12 : x
  2. Step 2: Convert to fraction form
    430,901.20/646,384.20 = 115,351.12/x
  3. Step 3: Cross multiply
    430,901.20x = 646,384.20 × 115,351.12
  4. Step 4: Simplify right side
    430,901.20x = 74,561,141,420.30
  5. Step 5: Solve for x
    x = 74,561,141,420.30/430,901.20
  6. Step 6: Final answer
    x = 173,035.35

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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.