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Finding the Fourth Proportional to 305,574.40, 459,052.80 and 212,262.40

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Solution

The fourth proportional to 305,574.40, 459,052.80 and 212,262.40 is: 318,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,574.40 : 459,052.80 = 212,262.40 : x
  2. Step 2: Convert to fraction form
    305,574.40/459,052.80 = 212,262.40/x
  3. Step 3: Cross multiply
    305,574.40x = 459,052.80 × 212,262.40
  4. Step 4: Simplify right side
    305,574.40x = 97,439,649,054.72
  5. Step 5: Solve for x
    x = 97,439,649,054.72/305,574.40
  6. Step 6: Final answer
    x = 318,873.73

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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.