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Finding the Fourth Proportional to 301,307.73, 415,790.67 and 165,338.28

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Solution

The fourth proportional to 301,307.73, 415,790.67 and 165,338.28 is: 228,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,307.73 : 415,790.67 = 165,338.28 : x
  2. Step 2: Convert to fraction form
    301,307.73/415,790.67 = 165,338.28/x
  3. Step 3: Cross multiply
    301,307.73x = 415,790.67 × 165,338.28
  4. Step 4: Simplify right side
    301,307.73x = 68,746,114,217.85
  5. Step 5: Solve for x
    x = 68,746,114,217.85/301,307.73
  6. Step 6: Final answer
    x = 228,159.15

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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.