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Finding the Fourth Proportional to 455,047.52, 682,039.76 and 342,365.67

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Solution

The fourth proportional to 455,047.52, 682,039.76 and 342,365.67 is: 513,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,047.52 : 682,039.76 = 342,365.67 : x
  2. Step 2: Convert to fraction form
    455,047.52/682,039.76 = 342,365.67/x
  3. Step 3: Cross multiply
    455,047.52x = 682,039.76 × 342,365.67
  4. Step 4: Simplify right side
    455,047.52x = 233,506,997,687.21
  5. Step 5: Solve for x
    x = 233,506,997,687.21/455,047.52
  6. Step 6: Final answer
    x = 513,148.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.