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Finding the Fourth Proportional to 432,328.68, 648,485.34 and 136,833

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Solution

The fourth proportional to 432,328.68, 648,485.34 and 136,833 is: 205,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,328.68 : 648,485.34 = 136,833 : x
  2. Step 2: Convert to fraction form
    432,328.68/648,485.34 = 136,833/x
  3. Step 3: Cross multiply
    432,328.68x = 648,485.34 × 136,833
  4. Step 4: Simplify right side
    432,328.68x = 88,734,194,528.22
  5. Step 5: Solve for x
    x = 88,734,194,528.22/432,328.68
  6. Step 6: Final answer
    x = 205,247.07

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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.