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Finding the Fourth Proportional to 310,448.32, 428,743.98 and 213,903.22

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Solution

The fourth proportional to 310,448.32, 428,743.98 and 213,903.22 is: 295,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,448.32 : 428,743.98 = 213,903.22 : x
  2. Step 2: Convert to fraction form
    310,448.32/428,743.98 = 213,903.22/x
  3. Step 3: Cross multiply
    310,448.32x = 428,743.98 × 213,903.22
  4. Step 4: Simplify right side
    310,448.32x = 91,709,717,877.62
  5. Step 5: Solve for x
    x = 91,709,717,877.62/310,448.32
  6. Step 6: Final answer
    x = 295,410.58

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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.