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Finding the Fourth Proportional to 403,819, 557,281.76 and 224,982.52

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Solution

The fourth proportional to 403,819, 557,281.76 and 224,982.52 is: 310,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,819 : 557,281.76 = 224,982.52 : x
  2. Step 2: Convert to fraction form
    403,819/557,281.76 = 224,982.52/x
  3. Step 3: Cross multiply
    403,819x = 557,281.76 × 224,982.52
  4. Step 4: Simplify right side
    403,819x = 125,378,654,714.84
  5. Step 5: Solve for x
    x = 125,378,654,714.84/403,819
  6. Step 6: Final answer
    x = 310,482.31

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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.