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Finding the Fourth Proportional to 212,864.40, 318,859.20 and 146,379.60

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Solution

The fourth proportional to 212,864.40, 318,859.20 and 146,379.60 is: 219,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,864.40 : 318,859.20 = 146,379.60 : x
  2. Step 2: Convert to fraction form
    212,864.40/318,859.20 = 146,379.60/x
  3. Step 3: Cross multiply
    212,864.40x = 318,859.20 × 146,379.60
  4. Step 4: Simplify right side
    212,864.40x = 46,674,482,152.32
  5. Step 5: Solve for x
    x = 46,674,482,152.32/212,864.40
  6. Step 6: Final answer
    x = 219,268.61

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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.