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Finding the Fourth Proportional to 326,009.60, 488,722.80 and 213,743.60

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Solution

The fourth proportional to 326,009.60, 488,722.80 and 213,743.60 is: 320,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,009.60 : 488,722.80 = 213,743.60 : x
  2. Step 2: Convert to fraction form
    326,009.60/488,722.80 = 213,743.60/x
  3. Step 3: Cross multiply
    326,009.60x = 488,722.80 × 213,743.60
  4. Step 4: Simplify right side
    326,009.60x = 104,461,370,674.08
  5. Step 5: Solve for x
    x = 104,461,370,674.08/326,009.60
  6. Step 6: Final answer
    x = 320,424.22

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1.5x scale

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.