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Finding the Fourth Proportional to 313,935.40, 470,903.10 and 166,479.40

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Solution

The fourth proportional to 313,935.40, 470,903.10 and 166,479.40 is: 249,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,935.40 : 470,903.10 = 166,479.40 : x
  2. Step 2: Convert to fraction form
    313,935.40/470,903.10 = 166,479.40/x
  3. Step 3: Cross multiply
    313,935.40x = 470,903.10 × 166,479.40
  4. Step 4: Simplify right side
    313,935.40x = 78,395,665,546.14
  5. Step 5: Solve for x
    x = 78,395,665,546.14/313,935.40
  6. Step 6: Final answer
    x = 249,719.10

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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.