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Finding the Fourth Proportional to 399,100.19, 598,130.47 and 162,165.88

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Solution

The fourth proportional to 399,100.19, 598,130.47 and 162,165.88 is: 243,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,100.19 : 598,130.47 = 162,165.88 : x
  2. Step 2: Convert to fraction form
    399,100.19/598,130.47 = 162,165.88/x
  3. Step 3: Cross multiply
    399,100.19x = 598,130.47 × 162,165.88
  4. Step 4: Simplify right side
    399,100.19x = 96,996,350,220.88
  5. Step 5: Solve for x
    x = 96,996,350,220.88/399,100.19
  6. Step 6: Final answer
    x = 243,037.59

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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.