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Finding the Fourth Proportional to 288,726.37, 433,089.79 and 78,364.31

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Solution

The fourth proportional to 288,726.37, 433,089.79 and 78,364.31 is: 117,546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,726.37 : 433,089.79 = 78,364.31 : x
  2. Step 2: Convert to fraction form
    288,726.37/433,089.79 = 78,364.31/x
  3. Step 3: Cross multiply
    288,726.37x = 433,089.79 × 78,364.31
  4. Step 4: Simplify right side
    288,726.37x = 33,938,782,636.17
  5. Step 5: Solve for x
    x = 33,938,782,636.17/288,726.37
  6. Step 6: Final answer
    x = 117,546.53

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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.