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Finding the Fourth Proportional to 420,707.96, 580,622.69 and 259,558.87

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Solution

The fourth proportional to 420,707.96, 580,622.69 and 259,558.87 is: 358,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,707.96 : 580,622.69 = 259,558.87 : x
  2. Step 2: Convert to fraction form
    420,707.96/580,622.69 = 259,558.87/x
  3. Step 3: Cross multiply
    420,707.96x = 580,622.69 × 259,558.87
  4. Step 4: Simplify right side
    420,707.96x = 150,705,769,312.76
  5. Step 5: Solve for x
    x = 150,705,769,312.76/420,707.96
  6. Step 6: Final answer
    x = 358,219.44

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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.