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Finding the Fourth Proportional to 298,905.12, 448,620.89 and 156,851.91

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Solution

The fourth proportional to 298,905.12, 448,620.89 and 156,851.91 is: 235,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,905.12 : 448,620.89 = 156,851.91 : x
  2. Step 2: Convert to fraction form
    298,905.12/448,620.89 = 156,851.91/x
  3. Step 3: Cross multiply
    298,905.12x = 448,620.89 × 156,851.91
  4. Step 4: Simplify right side
    298,905.12x = 70,367,042,678.14
  5. Step 5: Solve for x
    x = 70,367,042,678.14/298,905.12
  6. Step 6: Final answer
    x = 235,415.98

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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.