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Finding the Fourth Proportional to 278,459.51, 416,940.91 and 176,706.65

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Solution

The fourth proportional to 278,459.51, 416,940.91 and 176,706.65 is: 264,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,459.51 : 416,940.91 = 176,706.65 : x
  2. Step 2: Convert to fraction form
    278,459.51/416,940.91 = 176,706.65/x
  3. Step 3: Cross multiply
    278,459.51x = 416,940.91 × 176,706.65
  4. Step 4: Simplify right side
    278,459.51x = 73,676,232,054.64
  5. Step 5: Solve for x
    x = 73,676,232,054.64/278,459.51
  6. Step 6: Final answer
    x = 264,585.09

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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.