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Finding the Fourth Proportional to 309,504.84, 427,303.02 and 202,254.36

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Solution

The fourth proportional to 309,504.84, 427,303.02 and 202,254.36 is: 279,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,504.84 : 427,303.02 = 202,254.36 : x
  2. Step 2: Convert to fraction form
    309,504.84/427,303.02 = 202,254.36/x
  3. Step 3: Cross multiply
    309,504.84x = 427,303.02 × 202,254.36
  4. Step 4: Simplify right side
    309,504.84x = 86,423,898,836.17
  5. Step 5: Solve for x
    x = 86,423,898,836.17/309,504.84
  6. Step 6: Final answer
    x = 279,232.79

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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.