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Finding the Fourth Proportional to 298,040.78, 411,307.07 and 170,740.98

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Solution

The fourth proportional to 298,040.78, 411,307.07 and 170,740.98 is: 235,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,040.78 : 411,307.07 = 170,740.98 : x
  2. Step 2: Convert to fraction form
    298,040.78/411,307.07 = 170,740.98/x
  3. Step 3: Cross multiply
    298,040.78x = 411,307.07 × 170,740.98
  4. Step 4: Simplify right side
    298,040.78x = 70,226,971,359.02
  5. Step 5: Solve for x
    x = 70,226,971,359.02/298,040.78
  6. Step 6: Final answer
    x = 235,628.73

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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.