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Finding the Fourth Proportional to 307,812.70, 461,719.05 and 208,020.70

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Solution

The fourth proportional to 307,812.70, 461,719.05 and 208,020.70 is: 312,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,812.70 : 461,719.05 = 208,020.70 : x
  2. Step 2: Convert to fraction form
    307,812.70/461,719.05 = 208,020.70/x
  3. Step 3: Cross multiply
    307,812.70x = 461,719.05 × 208,020.70
  4. Step 4: Simplify right side
    307,812.70x = 96,047,119,984.34
  5. Step 5: Solve for x
    x = 96,047,119,984.34/307,812.70
  6. Step 6: Final answer
    x = 312,031.05

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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.