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Finding the Fourth Proportional to 282,576.78, 390,300.93 and 211,273.02

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Solution

The fourth proportional to 282,576.78, 390,300.93 and 211,273.02 is: 291,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,576.78 : 390,300.93 = 211,273.02 : x
  2. Step 2: Convert to fraction form
    282,576.78/390,300.93 = 211,273.02/x
  3. Step 3: Cross multiply
    282,576.78x = 390,300.93 × 211,273.02
  4. Step 4: Simplify right side
    282,576.78x = 82,460,056,189.91
  5. Step 5: Solve for x
    x = 82,460,056,189.91/282,576.78
  6. Step 6: Final answer
    x = 291,814.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.