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Finding the Fourth Proportional to 286,271.26, 431,417.52 and 257,843.91

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Solution

The fourth proportional to 286,271.26, 431,417.52 and 257,843.91 is: 388,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,271.26 : 431,417.52 = 257,843.91 : x
  2. Step 2: Convert to fraction form
    286,271.26/431,417.52 = 257,843.91/x
  3. Step 3: Cross multiply
    286,271.26x = 431,417.52 × 257,843.91
  4. Step 4: Simplify right side
    286,271.26x = 111,238,376,753.00
  5. Step 5: Solve for x
    x = 111,238,376,753.00/286,271.26
  6. Step 6: Final answer
    x = 388,576.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.