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Finding the Fourth Proportional to 405,657.90, 608,858.85 and 206,117.10

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Solution

The fourth proportional to 405,657.90, 608,858.85 and 206,117.10 is: 309,364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,657.90 : 608,858.85 = 206,117.10 : x
  2. Step 2: Convert to fraction form
    405,657.90/608,858.85 = 206,117.10/x
  3. Step 3: Cross multiply
    405,657.90x = 608,858.85 × 206,117.10
  4. Step 4: Simplify right side
    405,657.90x = 125,496,220,471.34
  5. Step 5: Solve for x
    x = 125,496,220,471.34/405,657.90
  6. Step 6: Final answer
    x = 309,364.67

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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.