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Finding the Fourth Proportional to 459,756.54, 634,467.06 and 255,816

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Solution

The fourth proportional to 459,756.54, 634,467.06 and 255,816 is: 353,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,756.54 : 634,467.06 = 255,816 : x
  2. Step 2: Convert to fraction form
    459,756.54/634,467.06 = 255,816/x
  3. Step 3: Cross multiply
    459,756.54x = 634,467.06 × 255,816
  4. Step 4: Simplify right side
    459,756.54x = 162,306,825,420.96
  5. Step 5: Solve for x
    x = 162,306,825,420.96/459,756.54
  6. Step 6: Final answer
    x = 353,027.77

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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.