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Finding the Fourth Proportional to 357,455.30, 493,300.41 and 204,518.66

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Solution

The fourth proportional to 357,455.30, 493,300.41 and 204,518.66 is: 282,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,455.30 : 493,300.41 = 204,518.66 : x
  2. Step 2: Convert to fraction form
    357,455.30/493,300.41 = 204,518.66/x
  3. Step 3: Cross multiply
    357,455.30x = 493,300.41 × 204,518.66
  4. Step 4: Simplify right side
    357,455.30x = 100,889,138,830.65
  5. Step 5: Solve for x
    x = 100,889,138,830.65/357,455.30
  6. Step 6: Final answer
    x = 282,242.67

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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.