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Finding the Fourth Proportional to 288,736, 433,096.70 and 78,368.48

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Solution

The fourth proportional to 288,736, 433,096.70 and 78,368.48 is: 117,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,736 : 433,096.70 = 78,368.48 : x
  2. Step 2: Convert to fraction form
    288,736/433,096.70 = 78,368.48/x
  3. Step 3: Cross multiply
    288,736x = 433,096.70 × 78,368.48
  4. Step 4: Simplify right side
    288,736x = 33,941,130,072.02
  5. Step 5: Solve for x
    x = 33,941,130,072.02/288,736
  6. Step 6: Final answer
    x = 117,550.74

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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.