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Finding the Fourth Proportional to 405,004.91, 607,888.73 and 205,468.50

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Solution

The fourth proportional to 405,004.91, 607,888.73 and 205,468.50 is: 308,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,004.91 : 607,888.73 = 205,468.50 : x
  2. Step 2: Convert to fraction form
    405,004.91/607,888.73 = 205,468.50/x
  3. Step 3: Cross multiply
    405,004.91x = 607,888.73 × 205,468.50
  4. Step 4: Simplify right side
    405,004.91x = 124,901,984,492.66
  5. Step 5: Solve for x
    x = 124,901,984,492.66/405,004.91
  6. Step 6: Final answer
    x = 308,396.22

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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.