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Finding the Fourth Proportional to 298,684.08, 448,011.54 and 111,681

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Solution

The fourth proportional to 298,684.08, 448,011.54 and 111,681 is: 167,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,684.08 : 448,011.54 = 111,681 : x
  2. Step 2: Convert to fraction form
    298,684.08/448,011.54 = 111,681/x
  3. Step 3: Cross multiply
    298,684.08x = 448,011.54 × 111,681
  4. Step 4: Simplify right side
    298,684.08x = 50,034,376,798.74
  5. Step 5: Solve for x
    x = 50,034,376,798.74/298,684.08
  6. Step 6: Final answer
    x = 167,516.05

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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.