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Finding the Fourth Proportional to 357,544.72, 536,143.74 and 207,828.10

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Solution

The fourth proportional to 357,544.72, 536,143.74 and 207,828.10 is: 311,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,544.72 : 536,143.74 = 207,828.10 : x
  2. Step 2: Convert to fraction form
    357,544.72/536,143.74 = 207,828.10/x
  3. Step 3: Cross multiply
    357,544.72x = 536,143.74 × 207,828.10
  4. Step 4: Simplify right side
    357,544.72x = 111,425,734,811.09
  5. Step 5: Solve for x
    x = 111,425,734,811.09/357,544.72
  6. Step 6: Final answer
    x = 311,641.39

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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.