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Finding the Fourth Proportional to 383,159.94, 528,760.71 and 213,394.07

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Solution

The fourth proportional to 383,159.94, 528,760.71 and 213,394.07 is: 294,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,159.94 : 528,760.71 = 213,394.07 : x
  2. Step 2: Convert to fraction form
    383,159.94/528,760.71 = 213,394.07/x
  3. Step 3: Cross multiply
    383,159.94x = 528,760.71 × 213,394.07
  4. Step 4: Simplify right side
    383,159.94x = 112,834,397,319.19
  5. Step 5: Solve for x
    x = 112,834,397,319.19/383,159.94
  6. Step 6: Final answer
    x = 294,483.81

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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.