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Finding the Fourth Proportional to 288,810.70, 433,207.95 and 131,038.90

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Solution

The fourth proportional to 288,810.70, 433,207.95 and 131,038.90 is: 196,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,810.70 : 433,207.95 = 131,038.90 : x
  2. Step 2: Convert to fraction form
    288,810.70/433,207.95 = 131,038.90/x
  3. Step 3: Cross multiply
    288,810.70x = 433,207.95 × 131,038.90
  4. Step 4: Simplify right side
    288,810.70x = 56,767,093,239.26
  5. Step 5: Solve for x
    x = 56,767,093,239.26/288,810.70
  6. Step 6: Final answer
    x = 196,554.67

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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.