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Finding the Fourth Proportional to 405,830.70, 608,832.45 and 125,376.30

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Solution

The fourth proportional to 405,830.70, 608,832.45 and 125,376.30 is: 188,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,830.70 : 608,832.45 = 125,376.30 : x
  2. Step 2: Convert to fraction form
    405,830.70/608,832.45 = 125,376.30/x
  3. Step 3: Cross multiply
    405,830.70x = 608,832.45 × 125,376.30
  4. Step 4: Simplify right side
    405,830.70x = 76,333,159,900.94
  5. Step 5: Solve for x
    x = 76,333,159,900.94/405,830.70
  6. Step 6: Final answer
    x = 188,091.14

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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.