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Finding the Fourth Proportional to 384,764, 531,032.64 and 233,831.84

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Solution

The fourth proportional to 384,764, 531,032.64 and 233,831.84 is: 322,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,764 : 531,032.64 = 233,831.84 : x
  2. Step 2: Convert to fraction form
    384,764/531,032.64 = 233,831.84/x
  3. Step 3: Cross multiply
    384,764x = 531,032.64 × 233,831.84
  4. Step 4: Simplify right side
    384,764x = 124,172,339,311.26
  5. Step 5: Solve for x
    x = 124,172,339,311.26/384,764
  6. Step 6: Final answer
    x = 322,723.38

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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.