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Finding the Fourth Proportional to 522,945.56, 784,750.08 and 223,428.40

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Solution

The fourth proportional to 522,945.56, 784,750.08 and 223,428.40 is: 335,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,945.56 : 784,750.08 = 223,428.40 : x
  2. Step 2: Convert to fraction form
    522,945.56/784,750.08 = 223,428.40/x
  3. Step 3: Cross multiply
    522,945.56x = 784,750.08 × 223,428.40
  4. Step 4: Simplify right side
    522,945.56x = 175,335,454,774.27
  5. Step 5: Solve for x
    x = 175,335,454,774.27/522,945.56
  6. Step 6: Final answer
    x = 335,284.34

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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.