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Finding the Fourth Proportional to 260,407.60, 390,771.48 and 120,176.56

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Solution

The fourth proportional to 260,407.60, 390,771.48 and 120,176.56 is: 180,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,407.60 : 390,771.48 = 120,176.56 : x
  2. Step 2: Convert to fraction form
    260,407.60/390,771.48 = 120,176.56/x
  3. Step 3: Cross multiply
    260,407.60x = 390,771.48 × 120,176.56
  4. Step 4: Simplify right side
    260,407.60x = 46,961,572,212.51
  5. Step 5: Solve for x
    x = 46,961,572,212.51/260,407.60
  6. Step 6: Final answer
    x = 180,338.72

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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.