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Finding the Fourth Proportional to 310,315.08, 428,339.70 and 201,567.72

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Solution

The fourth proportional to 310,315.08, 428,339.70 and 201,567.72 is: 278,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,315.08 : 428,339.70 = 201,567.72 : x
  2. Step 2: Convert to fraction form
    310,315.08/428,339.70 = 201,567.72/x
  3. Step 3: Cross multiply
    310,315.08x = 428,339.70 × 201,567.72
  4. Step 4: Simplify right side
    310,315.08x = 86,339,456,714.48
  5. Step 5: Solve for x
    x = 86,339,456,714.48/310,315.08
  6. Step 6: Final answer
    x = 278,231.59

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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.