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Finding the Fourth Proportional to 288,782.10, 433,065.24 and 99,188.64

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Solution

The fourth proportional to 288,782.10, 433,065.24 and 99,188.64 is: 148,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,782.10 : 433,065.24 = 99,188.64 : x
  2. Step 2: Convert to fraction form
    288,782.10/433,065.24 = 99,188.64/x
  3. Step 3: Cross multiply
    288,782.10x = 433,065.24 × 99,188.64
  4. Step 4: Simplify right side
    288,782.10x = 42,955,152,186.87
  5. Step 5: Solve for x
    x = 42,955,152,186.87/288,782.10
  6. Step 6: Final answer
    x = 148,745.90

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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.