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Finding the Fourth Proportional to 313,673.79, 470,246.16 and 136,047

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Solution

The fourth proportional to 313,673.79, 470,246.16 and 136,047 is: 203,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,673.79 : 470,246.16 = 136,047 : x
  2. Step 2: Convert to fraction form
    313,673.79/470,246.16 = 136,047/x
  3. Step 3: Cross multiply
    313,673.79x = 470,246.16 × 136,047
  4. Step 4: Simplify right side
    313,673.79x = 63,975,579,329.52
  5. Step 5: Solve for x
    x = 63,975,579,329.52/313,673.79
  6. Step 6: Final answer
    x = 203,955.77

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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.