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Finding the Fourth Proportional to 507,917.44, 761,900.46 and 419,006.08

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Solution

The fourth proportional to 507,917.44, 761,900.46 and 419,006.08 is: 628,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,917.44 : 761,900.46 = 419,006.08 : x
  2. Step 2: Convert to fraction form
    507,917.44/761,900.46 = 419,006.08/x
  3. Step 3: Cross multiply
    507,917.44x = 761,900.46 × 419,006.08
  4. Step 4: Simplify right side
    507,917.44x = 319,240,925,094.80
  5. Step 5: Solve for x
    x = 319,240,925,094.80/507,917.44
  6. Step 6: Final answer
    x = 628,529.17

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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.