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Finding the Fourth Proportional to 390,226.94, 585,441.40 and 120,349.11

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Solution

The fourth proportional to 390,226.94, 585,441.40 and 120,349.11 is: 180,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,226.94 : 585,441.40 = 120,349.11 : x
  2. Step 2: Convert to fraction form
    390,226.94/585,441.40 = 120,349.11/x
  3. Step 3: Cross multiply
    390,226.94x = 585,441.40 × 120,349.11
  4. Step 4: Simplify right side
    390,226.94x = 70,457,351,146.28
  5. Step 5: Solve for x
    x = 70,457,351,146.28/390,226.94
  6. Step 6: Final answer
    x = 180,554.81

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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.