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Finding the Fourth Proportional to 288,732, 433,090.71 and 78,364.47

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Solution

The fourth proportional to 288,732, 433,090.71 and 78,364.47 is: 117,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,732 : 433,090.71 = 78,364.47 : x
  2. Step 2: Convert to fraction form
    288,732/433,090.71 = 78,364.47/x
  3. Step 3: Cross multiply
    288,732x = 433,090.71 × 78,364.47
  4. Step 4: Simplify right side
    288,732x = 33,938,923,951.07
  5. Step 5: Solve for x
    x = 33,938,923,951.07/288,732
  6. Step 6: Final answer
    x = 117,544.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.