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Finding the Fourth Proportional to 312,000.60, 468,000.90 and 186,029.40

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Solution

The fourth proportional to 312,000.60, 468,000.90 and 186,029.40 is: 279,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,000.60 : 468,000.90 = 186,029.40 : x
  2. Step 2: Convert to fraction form
    312,000.60/468,000.90 = 186,029.40/x
  3. Step 3: Cross multiply
    312,000.60x = 468,000.90 × 186,029.40
  4. Step 4: Simplify right side
    312,000.60x = 87,061,926,626.46
  5. Step 5: Solve for x
    x = 87,061,926,626.46/312,000.60
  6. Step 6: Final answer
    x = 279,044.10

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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.