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Finding the Fourth Proportional to 294,779.08, 406,679.68 and 181,405

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Solution

The fourth proportional to 294,779.08, 406,679.68 and 181,405 is: 250,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,779.08 : 406,679.68 = 181,405 : x
  2. Step 2: Convert to fraction form
    294,779.08/406,679.68 = 181,405/x
  3. Step 3: Cross multiply
    294,779.08x = 406,679.68 × 181,405
  4. Step 4: Simplify right side
    294,779.08x = 73,773,727,350.40
  5. Step 5: Solve for x
    x = 73,773,727,350.40/294,779.08
  6. Step 6: Final answer
    x = 250,267.85

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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.