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Finding the Fourth Proportional to 282,072.66, 423,148.50 and 82,407.66

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Solution

The fourth proportional to 282,072.66, 423,148.50 and 82,407.66 is: 123,623.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,072.66 : 423,148.50 = 82,407.66 : x
  2. Step 2: Convert to fraction form
    282,072.66/423,148.50 = 82,407.66/x
  3. Step 3: Cross multiply
    282,072.66x = 423,148.50 × 82,407.66
  4. Step 4: Simplify right side
    282,072.66x = 34,870,677,717.51
  5. Step 5: Solve for x
    x = 34,870,677,717.51/282,072.66
  6. Step 6: Final answer
    x = 123,623.03

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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.