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Finding the Fourth Proportional to 390,202.42, 585,303.87 and 109,719.67

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Solution

The fourth proportional to 390,202.42, 585,303.87 and 109,719.67 is: 164,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,202.42 : 585,303.87 = 109,719.67 : x
  2. Step 2: Convert to fraction form
    390,202.42/585,303.87 = 109,719.67/x
  3. Step 3: Cross multiply
    390,202.42x = 585,303.87 × 109,719.67
  4. Step 4: Simplify right side
    390,202.42x = 64,219,347,466.12
  5. Step 5: Solve for x
    x = 64,219,347,466.12/390,202.42
  6. Step 6: Final answer
    x = 164,579.57

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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.