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Finding the Fourth Proportional to 402,339.75, 603,510.43 and 149,675.64

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Solution

The fourth proportional to 402,339.75, 603,510.43 and 149,675.64 is: 224,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,339.75 : 603,510.43 = 149,675.64 : x
  2. Step 2: Convert to fraction form
    402,339.75/603,510.43 = 149,675.64/x
  3. Step 3: Cross multiply
    402,339.75x = 603,510.43 × 149,675.64
  4. Step 4: Simplify right side
    402,339.75x = 90,330,809,856.93
  5. Step 5: Solve for x
    x = 90,330,809,856.93/402,339.75
  6. Step 6: Final answer
    x = 224,513.76

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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.