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Finding the Fourth Proportional to 278,766.30, 384,730.47 and 165,589.50

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Solution

The fourth proportional to 278,766.30, 384,730.47 and 165,589.50 is: 228,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,766.30 : 384,730.47 = 165,589.50 : x
  2. Step 2: Convert to fraction form
    278,766.30/384,730.47 = 165,589.50/x
  3. Step 3: Cross multiply
    278,766.30x = 384,730.47 × 165,589.50
  4. Step 4: Simplify right side
    278,766.30x = 63,707,326,162.07
  5. Step 5: Solve for x
    x = 63,707,326,162.07/278,766.30
  6. Step 6: Final answer
    x = 228,533.10

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1.5x scale

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.