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Finding the Fourth Proportional to 341,291.25, 511,538.25 and 256,779.90

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Solution

The fourth proportional to 341,291.25, 511,538.25 and 256,779.90 is: 384,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,291.25 : 511,538.25 = 256,779.90 : x
  2. Step 2: Convert to fraction form
    341,291.25/511,538.25 = 256,779.90/x
  3. Step 3: Cross multiply
    341,291.25x = 511,538.25 × 256,779.90
  4. Step 4: Simplify right side
    341,291.25x = 131,352,740,681.18
  5. Step 5: Solve for x
    x = 131,352,740,681.18/341,291.25
  6. Step 6: Final answer
    x = 384,869.93

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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.