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Finding the Fourth Proportional to 309,504.94, 427,303.11 and 202,254.46

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Solution

The fourth proportional to 309,504.94, 427,303.11 and 202,254.46 is: 279,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,504.94 : 427,303.11 = 202,254.46 : x
  2. Step 2: Convert to fraction form
    309,504.94/427,303.11 = 202,254.46/x
  3. Step 3: Cross multiply
    309,504.94x = 427,303.11 × 202,254.46
  4. Step 4: Simplify right side
    309,504.94x = 86,423,959,769.37
  5. Step 5: Solve for x
    x = 86,423,959,769.37/309,504.94
  6. Step 6: Final answer
    x = 279,232.89

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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.