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Finding the Fourth Proportional to 298,472.15, 412,147.57 and 288,820.59

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Solution

The fourth proportional to 298,472.15, 412,147.57 and 288,820.59 is: 398,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,472.15 : 412,147.57 = 288,820.59 : x
  2. Step 2: Convert to fraction form
    298,472.15/412,147.57 = 288,820.59/x
  3. Step 3: Cross multiply
    298,472.15x = 412,147.57 × 288,820.59
  4. Step 4: Simplify right side
    298,472.15x = 119,036,704,334.47
  5. Step 5: Solve for x
    x = 119,036,704,334.47/298,472.15
  6. Step 6: Final answer
    x = 398,820.14

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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.