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Finding the Fourth Proportional to 314,969.59, 434,834.90 and 218,313.91

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Solution

The fourth proportional to 314,969.59, 434,834.90 and 218,313.91 is: 301,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,969.59 : 434,834.90 = 218,313.91 : x
  2. Step 2: Convert to fraction form
    314,969.59/434,834.90 = 218,313.91/x
  3. Step 3: Cross multiply
    314,969.59x = 434,834.90 × 218,313.91
  4. Step 4: Simplify right side
    314,969.59x = 94,930,505,595.07
  5. Step 5: Solve for x
    x = 94,930,505,595.07/314,969.59
  6. Step 6: Final answer
    x = 301,395.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.