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Finding the Fourth Proportional to 441,665, 609,342.47 and 288,792.67

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Solution

The fourth proportional to 441,665, 609,342.47 and 288,792.67 is: 398,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,665 : 609,342.47 = 288,792.67 : x
  2. Step 2: Convert to fraction form
    441,665/609,342.47 = 288,792.67/x
  3. Step 3: Cross multiply
    441,665x = 609,342.47 × 288,792.67
  4. Step 4: Simplify right side
    441,665x = 175,973,638,855.70
  5. Step 5: Solve for x
    x = 175,973,638,855.70/441,665
  6. Step 6: Final answer
    x = 398,432.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.