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Finding the Fourth Proportional to 420,143.87, 579,798.19 and 229,156.67

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Solution

The fourth proportional to 420,143.87, 579,798.19 and 229,156.67 is: 316,236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,143.87 : 579,798.19 = 229,156.67 : x
  2. Step 2: Convert to fraction form
    420,143.87/579,798.19 = 229,156.67/x
  3. Step 3: Cross multiply
    420,143.87x = 579,798.19 × 229,156.67
  4. Step 4: Simplify right side
    420,143.87x = 132,864,622,492.43
  5. Step 5: Solve for x
    x = 132,864,622,492.43/420,143.87
  6. Step 6: Final answer
    x = 316,236.01

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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.