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Finding the Fourth Proportional to 507,978.60, 761,914.44 and 208,490.88

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Solution

The fourth proportional to 507,978.60, 761,914.44 and 208,490.88 is: 312,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,978.60 : 761,914.44 = 208,490.88 : x
  2. Step 2: Convert to fraction form
    507,978.60/761,914.44 = 208,490.88/x
  3. Step 3: Cross multiply
    507,978.60x = 761,914.44 × 208,490.88
  4. Step 4: Simplify right side
    507,978.60x = 158,852,212,080.31
  5. Step 5: Solve for x
    x = 158,852,212,080.31/507,978.60
  6. Step 6: Final answer
    x = 312,714.38

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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.