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Finding the Fourth Proportional to 405,205.50, 607,834.16 and 155,887.50

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Solution

The fourth proportional to 405,205.50, 607,834.16 and 155,887.50 is: 233,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,205.50 : 607,834.16 = 155,887.50 : x
  2. Step 2: Convert to fraction form
    405,205.50/607,834.16 = 155,887.50/x
  3. Step 3: Cross multiply
    405,205.50x = 607,834.16 × 155,887.50
  4. Step 4: Simplify right side
    405,205.50x = 94,753,747,617
  5. Step 5: Solve for x
    x = 94,753,747,617/405,205.50
  6. Step 6: Final answer
    x = 233,841.22

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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.