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Finding the Fourth Proportional to 278,465.08, 416,751.36 and 171,916.96

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Solution

The fourth proportional to 278,465.08, 416,751.36 and 171,916.96 is: 257,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,465.08 : 416,751.36 = 171,916.96 : x
  2. Step 2: Convert to fraction form
    278,465.08/416,751.36 = 171,916.96/x
  3. Step 3: Cross multiply
    278,465.08x = 416,751.36 × 171,916.96
  4. Step 4: Simplify right side
    278,465.08x = 71,646,626,887.07
  5. Step 5: Solve for x
    x = 71,646,626,887.07/278,465.08
  6. Step 6: Final answer
    x = 257,291.24

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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.