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Finding the Fourth Proportional to 288,851.86, 433,171.64 and 99,258.46

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Solution

The fourth proportional to 288,851.86, 433,171.64 and 99,258.46 is: 148,851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,851.86 : 433,171.64 = 99,258.46 : x
  2. Step 2: Convert to fraction form
    288,851.86/433,171.64 = 99,258.46/x
  3. Step 3: Cross multiply
    288,851.86x = 433,171.64 × 99,258.46
  4. Step 4: Simplify right side
    288,851.86x = 42,995,949,902.07
  5. Step 5: Solve for x
    x = 42,995,949,902.07/288,851.86
  6. Step 6: Final answer
    x = 148,851.21

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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.