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Finding the Fourth Proportional to 301,739.48, 416,400.64 and 165,782.20

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Solution

The fourth proportional to 301,739.48, 416,400.64 and 165,782.20 is: 228,779.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,739.48 : 416,400.64 = 165,782.20 : x
  2. Step 2: Convert to fraction form
    301,739.48/416,400.64 = 165,782.20/x
  3. Step 3: Cross multiply
    301,739.48x = 416,400.64 × 165,782.20
  4. Step 4: Simplify right side
    301,739.48x = 69,031,814,180.61
  5. Step 5: Solve for x
    x = 69,031,814,180.61/301,739.48
  6. Step 6: Final answer
    x = 228,779.52

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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.