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Finding the Fourth Proportional to 323,564.10, 482,814.90 and 289,941.78

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Solution

The fourth proportional to 323,564.10, 482,814.90 and 289,941.78 is: 432,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,564.10 : 482,814.90 = 289,941.78 : x
  2. Step 2: Convert to fraction form
    323,564.10/482,814.90 = 289,941.78/x
  3. Step 3: Cross multiply
    323,564.10x = 482,814.90 × 289,941.78
  4. Step 4: Simplify right side
    323,564.10x = 139,988,211,516.52
  5. Step 5: Solve for x
    x = 139,988,211,516.52/323,564.10
  6. Step 6: Final answer
    x = 432,644.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.