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Finding the Fourth Proportional to 507,956.48, 761,976.21 and 255,106.92

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Solution

The fourth proportional to 507,956.48, 761,976.21 and 255,106.92 is: 382,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,956.48 : 761,976.21 = 255,106.92 : x
  2. Step 2: Convert to fraction form
    507,956.48/761,976.21 = 255,106.92/x
  3. Step 3: Cross multiply
    507,956.48x = 761,976.21 × 255,106.92
  4. Step 4: Simplify right side
    507,956.48x = 194,385,404,046.37
  5. Step 5: Solve for x
    x = 194,385,404,046.37/507,956.48
  6. Step 6: Final answer
    x = 382,681.22

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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.