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Finding the Fourth Proportional to 405,201, 607,827.42 and 155,883

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Solution

The fourth proportional to 405,201, 607,827.42 and 155,883 is: 233,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,201 : 607,827.42 = 155,883 : x
  2. Step 2: Convert to fraction form
    405,201/607,827.42 = 155,883/x
  3. Step 3: Cross multiply
    405,201x = 607,827.42 × 155,883
  4. Step 4: Simplify right side
    405,201x = 94,749,961,711.86
  5. Step 5: Solve for x
    x = 94,749,961,711.86/405,201
  6. Step 6: Final answer
    x = 233,834.47

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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.