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Finding the Fourth Proportional to 543,008.30, 749,340 and 301,285.67

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Solution

The fourth proportional to 543,008.30, 749,340 and 301,285.67 is: 415,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,008.30 : 749,340 = 301,285.67 : x
  2. Step 2: Convert to fraction form
    543,008.30/749,340 = 301,285.67/x
  3. Step 3: Cross multiply
    543,008.30x = 749,340 × 301,285.67
  4. Step 4: Simplify right side
    543,008.30x = 225,765,400,211.10
  5. Step 5: Solve for x
    x = 225,765,400,211.10/543,008.30
  6. Step 6: Final answer
    x = 415,767.87

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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.