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Finding the Fourth Proportional to 209,713.40, 294,428.20 and 209,713.40

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Solution

The fourth proportional to 209,713.40, 294,428.20 and 209,713.40 is: 294,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,713.40 : 294,428.20 = 209,713.40 : x
  2. Step 2: Convert to fraction form
    209,713.40/294,428.20 = 209,713.40/x
  3. Step 3: Cross multiply
    209,713.40x = 294,428.20 × 209,713.40
  4. Step 4: Simplify right side
    209,713.40x = 61,745,538,877.88
  5. Step 5: Solve for x
    x = 61,745,538,877.88/209,713.40
  6. Step 6: Final answer
    x = 294,428.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.