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Finding the Fourth Proportional to 340,905, 511,431.32 and 130,542.94

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Solution

The fourth proportional to 340,905, 511,431.32 and 130,542.94 is: 195,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,905 : 511,431.32 = 130,542.94 : x
  2. Step 2: Convert to fraction form
    340,905/511,431.32 = 130,542.94/x
  3. Step 3: Cross multiply
    340,905x = 511,431.32 × 130,542.94
  4. Step 4: Simplify right side
    340,905x = 66,763,746,189.59
  5. Step 5: Solve for x
    x = 66,763,746,189.59/340,905
  6. Step 6: Final answer
    x = 195,842.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.