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Finding the Fourth Proportional to 507,654, 761,356.26 and 223,415.82

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Solution

The fourth proportional to 507,654, 761,356.26 and 223,415.82 is: 335,068.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,654 : 761,356.26 = 223,415.82 : x
  2. Step 2: Convert to fraction form
    507,654/761,356.26 = 223,415.82/x
  3. Step 3: Cross multiply
    507,654x = 761,356.26 × 223,415.82
  4. Step 4: Simplify right side
    507,654x = 170,099,033,140.03
  5. Step 5: Solve for x
    x = 170,099,033,140.03/507,654
  6. Step 6: Final answer
    x = 335,068.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.