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Finding the Fourth Proportional to 295,825.98, 407,379.87 and 257,047.50

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Solution

The fourth proportional to 295,825.98, 407,379.87 and 257,047.50 is: 353,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,825.98 : 407,379.87 = 257,047.50 : x
  2. Step 2: Convert to fraction form
    295,825.98/407,379.87 = 257,047.50/x
  3. Step 3: Cross multiply
    295,825.98x = 407,379.87 × 257,047.50
  4. Step 4: Simplify right side
    295,825.98x = 104,715,977,133.83
  5. Step 5: Solve for x
    x = 104,715,977,133.83/295,825.98
  6. Step 6: Final answer
    x = 353,978.30

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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.