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Finding the Fourth Proportional to 288,679.36, 433,009.32 and 101,686

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Solution

The fourth proportional to 288,679.36, 433,009.32 and 101,686 is: 152,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,679.36 : 433,009.32 = 101,686 : x
  2. Step 2: Convert to fraction form
    288,679.36/433,009.32 = 101,686/x
  3. Step 3: Cross multiply
    288,679.36x = 433,009.32 × 101,686
  4. Step 4: Simplify right side
    288,679.36x = 44,030,985,713.52
  5. Step 5: Solve for x
    x = 44,030,985,713.52/288,679.36
  6. Step 6: Final answer
    x = 152,525.58

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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.