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Finding the Fourth Proportional to 653,284.34, 901,448.78 and 381,289.86

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Solution

The fourth proportional to 653,284.34, 901,448.78 and 381,289.86 is: 526,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,284.34 : 901,448.78 = 381,289.86 : x
  2. Step 2: Convert to fraction form
    653,284.34/901,448.78 = 381,289.86/x
  3. Step 3: Cross multiply
    653,284.34x = 901,448.78 × 381,289.86
  4. Step 4: Simplify right side
    653,284.34x = 343,713,279,123.37
  5. Step 5: Solve for x
    x = 343,713,279,123.37/653,284.34
  6. Step 6: Final answer
    x = 526,131.21

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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.