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Finding the Fourth Proportional to 328,878.24, 453,872.40 and 185,586

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Solution

The fourth proportional to 328,878.24, 453,872.40 and 185,586 is: 256,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,878.24 : 453,872.40 = 185,586 : x
  2. Step 2: Convert to fraction form
    328,878.24/453,872.40 = 185,586/x
  3. Step 3: Cross multiply
    328,878.24x = 453,872.40 × 185,586
  4. Step 4: Simplify right side
    328,878.24x = 84,232,363,226.40
  5. Step 5: Solve for x
    x = 84,232,363,226.40/328,878.24
  6. Step 6: Final answer
    x = 256,120.21

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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.