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Finding the Fourth Proportional to 399,102.53, 598,133.93 and 162,168.21

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Solution

The fourth proportional to 399,102.53, 598,133.93 and 162,168.21 is: 243,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,102.53 : 598,133.93 = 162,168.21 : x
  2. Step 2: Convert to fraction form
    399,102.53/598,133.93 = 162,168.21/x
  3. Step 3: Cross multiply
    399,102.53x = 598,133.93 × 162,168.21
  4. Step 4: Simplify right side
    399,102.53x = 96,998,307,957.52
  5. Step 5: Solve for x
    x = 96,998,307,957.52/399,102.53
  6. Step 6: Final answer
    x = 243,041.08

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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.