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Finding the Fourth Proportional to 288,706.45, 433,059.68 and 78,370.45

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Solution

The fourth proportional to 288,706.45, 433,059.68 and 78,370.45 is: 117,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,706.45 : 433,059.68 = 78,370.45 : x
  2. Step 2: Convert to fraction form
    288,706.45/433,059.68 = 78,370.45/x
  3. Step 3: Cross multiply
    288,706.45x = 433,059.68 × 78,370.45
  4. Step 4: Simplify right side
    288,706.45x = 33,939,081,606.60
  5. Step 5: Solve for x
    x = 33,939,081,606.60/288,706.45
  6. Step 6: Final answer
    x = 117,555.68

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1.5x scale

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.