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Finding the Fourth Proportional to 288,463.33, 430,896.15 and 213,729.44

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Solution

The fourth proportional to 288,463.33, 430,896.15 and 213,729.44 is: 319,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,463.33 : 430,896.15 = 213,729.44 : x
  2. Step 2: Convert to fraction form
    288,463.33/430,896.15 = 213,729.44/x
  3. Step 3: Cross multiply
    288,463.33x = 430,896.15 × 213,729.44
  4. Step 4: Simplify right side
    288,463.33x = 92,095,189,881.69
  5. Step 5: Solve for x
    x = 92,095,189,881.69/288,463.33
  6. Step 6: Final answer
    x = 319,261.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.