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Finding the Fourth Proportional to 298,610.40, 412,066.80 and 185,430.72

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Solution

The fourth proportional to 298,610.40, 412,066.80 and 185,430.72 is: 255,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,610.40 : 412,066.80 = 185,430.72 : x
  2. Step 2: Convert to fraction form
    298,610.40/412,066.80 = 185,430.72/x
  3. Step 3: Cross multiply
    298,610.40x = 412,066.80 × 185,430.72
  4. Step 4: Simplify right side
    298,610.40x = 76,409,843,412.10
  5. Step 5: Solve for x
    x = 76,409,843,412.10/298,610.40
  6. Step 6: Final answer
    x = 255,884.74

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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.