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Finding the Fourth Proportional to 645,154, 967,894.08 and 455,986.24

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Solution

The fourth proportional to 645,154, 967,894.08 and 455,986.24 is: 684,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,154 : 967,894.08 = 455,986.24 : x
  2. Step 2: Convert to fraction form
    645,154/967,894.08 = 455,986.24/x
  3. Step 3: Cross multiply
    645,154x = 967,894.08 × 455,986.24
  4. Step 4: Simplify right side
    645,154x = 441,346,382,257.46
  5. Step 5: Solve for x
    x = 441,346,382,257.46/645,154
  6. Step 6: Final answer
    x = 684,094.62

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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.