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Finding the Fourth Proportional to 398,820.63, 598,101.54 and 132,509.64

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Solution

The fourth proportional to 398,820.63, 598,101.54 and 132,509.64 is: 198,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,820.63 : 598,101.54 = 132,509.64 : x
  2. Step 2: Convert to fraction form
    398,820.63/598,101.54 = 132,509.64/x
  3. Step 3: Cross multiply
    398,820.63x = 598,101.54 × 132,509.64
  4. Step 4: Simplify right side
    398,820.63x = 79,254,219,748.85
  5. Step 5: Solve for x
    x = 79,254,219,748.85/398,820.63
  6. Step 6: Final answer
    x = 198,721.46

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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.