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Finding the Fourth Proportional to 305,564.40, 459,037.80 and 212,252.40

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Solution

The fourth proportional to 305,564.40, 459,037.80 and 212,252.40 is: 318,858.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,564.40 : 459,037.80 = 212,252.40 : x
  2. Step 2: Convert to fraction form
    305,564.40/459,037.80 = 212,252.40/x
  3. Step 3: Cross multiply
    305,564.40x = 459,037.80 × 212,252.40
  4. Step 4: Simplify right side
    305,564.40x = 97,431,874,740.72
  5. Step 5: Solve for x
    x = 97,431,874,740.72/305,564.40
  6. Step 6: Final answer
    x = 318,858.72

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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.