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Finding the Fourth Proportional to 566,081.09, 781,190.74 and 311,431.67

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Solution

The fourth proportional to 566,081.09, 781,190.74 and 311,431.67 is: 429,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,081.09 : 781,190.74 = 311,431.67 : x
  2. Step 2: Convert to fraction form
    566,081.09/781,190.74 = 311,431.67/x
  3. Step 3: Cross multiply
    566,081.09x = 781,190.74 × 311,431.67
  4. Step 4: Simplify right side
    566,081.09x = 243,287,539,089.00
  5. Step 5: Solve for x
    x = 243,287,539,089.00/566,081.09
  6. Step 6: Final answer
    x = 429,775.07

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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.