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Finding the Fourth Proportional to 298,555.61, 411,988.06 and 164,419.61

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Solution

The fourth proportional to 298,555.61, 411,988.06 and 164,419.61 is: 226,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,555.61 : 411,988.06 = 164,419.61 : x
  2. Step 2: Convert to fraction form
    298,555.61/411,988.06 = 164,419.61/x
  3. Step 3: Cross multiply
    298,555.61x = 411,988.06 × 164,419.61
  4. Step 4: Simplify right side
    298,555.61x = 67,738,916,149.86
  5. Step 5: Solve for x
    x = 67,738,916,149.86/298,555.61
  6. Step 6: Final answer
    x = 226,888.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.