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Finding the Fourth Proportional to 313,495.40, 470,243.10 and 166,039.40

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Solution

The fourth proportional to 313,495.40, 470,243.10 and 166,039.40 is: 249,059.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,495.40 : 470,243.10 = 166,039.40 : x
  2. Step 2: Convert to fraction form
    313,495.40/470,243.10 = 166,039.40/x
  3. Step 3: Cross multiply
    313,495.40x = 470,243.10 × 166,039.40
  4. Step 4: Simplify right side
    313,495.40x = 78,078,882,178.14
  5. Step 5: Solve for x
    x = 78,078,882,178.14/313,495.40
  6. Step 6: Final answer
    x = 249,059.10

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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.