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Finding the Fourth Proportional to 455,136.16, 682,783.52 and 155,646.72

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Solution

The fourth proportional to 455,136.16, 682,783.52 and 155,646.72 is: 233,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,136.16 : 682,783.52 = 155,646.72 : x
  2. Step 2: Convert to fraction form
    455,136.16/682,783.52 = 155,646.72/x
  3. Step 3: Cross multiply
    455,136.16x = 682,783.52 × 155,646.72
  4. Step 4: Simplify right side
    455,136.16x = 106,273,015,358.05
  5. Step 5: Solve for x
    x = 106,273,015,358.05/455,136.16
  6. Step 6: Final answer
    x = 233,497.19

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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.