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Finding the Fourth Proportional to 298,009.86, 411,254.10 and 162,043.68

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Solution

The fourth proportional to 298,009.86, 411,254.10 and 162,043.68 is: 223,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,009.86 : 411,254.10 = 162,043.68 : x
  2. Step 2: Convert to fraction form
    298,009.86/411,254.10 = 162,043.68/x
  3. Step 3: Cross multiply
    298,009.86x = 411,254.10 × 162,043.68
  4. Step 4: Simplify right side
    298,009.86x = 66,641,127,779.09
  5. Step 5: Solve for x
    x = 66,641,127,779.09/298,009.86
  6. Step 6: Final answer
    x = 223,620.55

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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.