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Finding the Fourth Proportional to 478,912.50, 718,369.02 and 146,488.50

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Solution

The fourth proportional to 478,912.50, 718,369.02 and 146,488.50 is: 219,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,912.50 : 718,369.02 = 146,488.50 : x
  2. Step 2: Convert to fraction form
    478,912.50/718,369.02 = 146,488.50/x
  3. Step 3: Cross multiply
    478,912.50x = 718,369.02 × 146,488.50
  4. Step 4: Simplify right side
    478,912.50x = 105,232,800,186.27
  5. Step 5: Solve for x
    x = 105,232,800,186.27/478,912.50
  6. Step 6: Final answer
    x = 219,732.83

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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.