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Finding the Fourth Proportional to 257,323.14, 385,972.83 and 70,334.10

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Solution

The fourth proportional to 257,323.14, 385,972.83 and 70,334.10 is: 105,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,323.14 : 385,972.83 = 70,334.10 : x
  2. Step 2: Convert to fraction form
    257,323.14/385,972.83 = 70,334.10/x
  3. Step 3: Cross multiply
    257,323.14x = 385,972.83 × 70,334.10
  4. Step 4: Simplify right side
    257,323.14x = 27,147,051,622.50
  5. Step 5: Solve for x
    x = 27,147,051,622.50/257,323.14
  6. Step 6: Final answer
    x = 105,497.90

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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.