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Finding the Fourth Proportional to 312,379.18, 468,509.73 and 152,294.38

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Solution

The fourth proportional to 312,379.18, 468,509.73 and 152,294.38 is: 228,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,379.18 : 468,509.73 = 152,294.38 : x
  2. Step 2: Convert to fraction form
    312,379.18/468,509.73 = 152,294.38/x
  3. Step 3: Cross multiply
    312,379.18x = 468,509.73 × 152,294.38
  4. Step 4: Simplify right side
    312,379.18x = 71,351,398,854.32
  5. Step 5: Solve for x
    x = 71,351,398,854.32/312,379.18
  6. Step 6: Final answer
    x = 228,412.79

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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.