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Finding the Fourth Proportional to 301,038.42, 415,437.69 and 165,084.78

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Solution

The fourth proportional to 301,038.42, 415,437.69 and 165,084.78 is: 227,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,038.42 : 415,437.69 = 165,084.78 : x
  2. Step 2: Convert to fraction form
    301,038.42/415,437.69 = 165,084.78/x
  3. Step 3: Cross multiply
    301,038.42x = 415,437.69 × 165,084.78
  4. Step 4: Simplify right side
    301,038.42x = 68,582,439,657.36
  5. Step 5: Solve for x
    x = 68,582,439,657.36/301,038.42
  6. Step 6: Final answer
    x = 227,819.56

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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.