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Finding the Fourth Proportional to 300,235.28, 412,590.53 and 286,358

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Solution

The fourth proportional to 300,235.28, 412,590.53 and 286,358 is: 393,520.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,235.28 : 412,590.53 = 286,358 : x
  2. Step 2: Convert to fraction form
    300,235.28/412,590.53 = 286,358/x
  3. Step 3: Cross multiply
    300,235.28x = 412,590.53 × 286,358
  4. Step 4: Simplify right side
    300,235.28x = 118,148,598,989.74
  5. Step 5: Solve for x
    x = 118,148,598,989.74/300,235.28
  6. Step 6: Final answer
    x = 393,520.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.