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Finding the Fourth Proportional to 383,384, 529,048.48 and 211,296.32

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Solution

The fourth proportional to 383,384, 529,048.48 and 211,296.32 is: 291,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,384 : 529,048.48 = 211,296.32 : x
  2. Step 2: Convert to fraction form
    383,384/529,048.48 = 211,296.32/x
  3. Step 3: Cross multiply
    383,384x = 529,048.48 × 211,296.32
  4. Step 4: Simplify right side
    383,384x = 111,785,996,925.59
  5. Step 5: Solve for x
    x = 111,785,996,925.59/383,384
  6. Step 6: Final answer
    x = 291,577.11

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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.