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Finding the Fourth Proportional to 458,878.70, 688,081.57 and 205,942.30

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Solution

The fourth proportional to 458,878.70, 688,081.57 and 205,942.30 is: 308,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,878.70 : 688,081.57 = 205,942.30 : x
  2. Step 2: Convert to fraction form
    458,878.70/688,081.57 = 205,942.30/x
  3. Step 3: Cross multiply
    458,878.70x = 688,081.57 × 205,942.30
  4. Step 4: Simplify right side
    458,878.70x = 141,705,098,878.35
  5. Step 5: Solve for x
    x = 141,705,098,878.35/458,878.70
  6. Step 6: Final answer
    x = 308,807.31

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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.