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Finding the Fourth Proportional to 300,775.94, 415,070.90 and 164,808.78

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Solution

The fourth proportional to 300,775.94, 415,070.90 and 164,808.78 is: 227,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,775.94 : 415,070.90 = 164,808.78 : x
  2. Step 2: Convert to fraction form
    300,775.94/415,070.90 = 164,808.78/x
  3. Step 3: Cross multiply
    300,775.94x = 415,070.90 × 164,808.78
  4. Step 4: Simplify right side
    300,775.94x = 68,407,327,818.46
  5. Step 5: Solve for x
    x = 68,407,327,818.46/300,775.94
  6. Step 6: Final answer
    x = 227,436.17

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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.