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Finding the Fourth Proportional to 284,692.27, 392,875.41 and 155,631.31

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Solution

The fourth proportional to 284,692.27, 392,875.41 and 155,631.31 is: 214,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,692.27 : 392,875.41 = 155,631.31 : x
  2. Step 2: Convert to fraction form
    284,692.27/392,875.41 = 155,631.31/x
  3. Step 3: Cross multiply
    284,692.27x = 392,875.41 × 155,631.31
  4. Step 4: Simplify right side
    284,692.27x = 61,143,714,725.09
  5. Step 5: Solve for x
    x = 61,143,714,725.09/284,692.27
  6. Step 6: Final answer
    x = 214,771.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.