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Finding the Fourth Proportional to 288,543.62, 434,784.95 and 237,105.38

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Solution

The fourth proportional to 288,543.62, 434,784.95 and 237,105.38 is: 357,276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,543.62 : 434,784.95 = 237,105.38 : x
  2. Step 2: Convert to fraction form
    288,543.62/434,784.95 = 237,105.38/x
  3. Step 3: Cross multiply
    288,543.62x = 434,784.95 × 237,105.38
  4. Step 4: Simplify right side
    288,543.62x = 103,089,852,912.33
  5. Step 5: Solve for x
    x = 103,089,852,912.33/288,543.62
  6. Step 6: Final answer
    x = 357,276.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.