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Finding the Fourth Proportional to 459,451.58, 688,727.43 and 257,146.49

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Solution

The fourth proportional to 459,451.58, 688,727.43 and 257,146.49 is: 385,467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,451.58 : 688,727.43 = 257,146.49 : x
  2. Step 2: Convert to fraction form
    459,451.58/688,727.43 = 257,146.49/x
  3. Step 3: Cross multiply
    459,451.58x = 688,727.43 × 257,146.49
  4. Step 4: Simplify right side
    459,451.58x = 177,103,837,747.58
  5. Step 5: Solve for x
    x = 177,103,837,747.58/459,451.58
  6. Step 6: Final answer
    x = 385,467.91

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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.