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Finding the Fourth Proportional to 455,611.36, 629,039.28 and 407,781.76

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Solution

The fourth proportional to 455,611.36, 629,039.28 and 407,781.76 is: 563,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,611.36 : 629,039.28 = 407,781.76 : x
  2. Step 2: Convert to fraction form
    455,611.36/629,039.28 = 407,781.76/x
  3. Step 3: Cross multiply
    455,611.36x = 629,039.28 × 407,781.76
  4. Step 4: Simplify right side
    455,611.36x = 256,510,744,707.53
  5. Step 5: Solve for x
    x = 256,510,744,707.53/455,611.36
  6. Step 6: Final answer
    x = 563,003.40

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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.