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Finding the Fourth Proportional to 509,386.92, 702,912.84 and 294,540.90

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Solution

The fourth proportional to 509,386.92, 702,912.84 and 294,540.90 is: 406,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,386.92 : 702,912.84 = 294,540.90 : x
  2. Step 2: Convert to fraction form
    509,386.92/702,912.84 = 294,540.90/x
  3. Step 3: Cross multiply
    509,386.92x = 702,912.84 × 294,540.90
  4. Step 4: Simplify right side
    509,386.92x = 207,036,580,515.16
  5. Step 5: Solve for x
    x = 207,036,580,515.16/509,386.92
  6. Step 6: Final answer
    x = 406,442.67

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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.