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Finding the Fourth Proportional to 301,780.77, 416,455.47 and 165,816.20

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Solution

The fourth proportional to 301,780.77, 416,455.47 and 165,816.20 is: 228,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,780.77 : 416,455.47 = 165,816.20 : x
  2. Step 2: Convert to fraction form
    301,780.77/416,455.47 = 165,816.20/x
  3. Step 3: Cross multiply
    301,780.77x = 416,455.47 × 165,816.20
  4. Step 4: Simplify right side
    301,780.77x = 69,055,061,422.34
  5. Step 5: Solve for x
    x = 69,055,061,422.34/301,780.77
  6. Step 6: Final answer
    x = 228,825.25

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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.