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Finding the Fourth Proportional to 213,374.64, 317,797.94 and 212,343.40

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Solution

The fourth proportional to 213,374.64, 317,797.94 and 212,343.40 is: 316,262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,374.64 : 317,797.94 = 212,343.40 : x
  2. Step 2: Convert to fraction form
    213,374.64/317,797.94 = 212,343.40/x
  3. Step 3: Cross multiply
    213,374.64x = 317,797.94 × 212,343.40
  4. Step 4: Simplify right side
    213,374.64x = 67,482,292,441.89
  5. Step 5: Solve for x
    x = 67,482,292,441.89/213,374.64
  6. Step 6: Final answer
    x = 316,262.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.