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Finding the Fourth Proportional to 459,471.92, 634,100.28 and 258,280.88

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Solution

The fourth proportional to 459,471.92, 634,100.28 and 258,280.88 is: 356,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,471.92 : 634,100.28 = 258,280.88 : x
  2. Step 2: Convert to fraction form
    459,471.92/634,100.28 = 258,280.88/x
  3. Step 3: Cross multiply
    459,471.92x = 634,100.28 × 258,280.88
  4. Step 4: Simplify right side
    459,471.92x = 163,775,978,326.65
  5. Step 5: Solve for x
    x = 163,775,978,326.65/459,471.92
  6. Step 6: Final answer
    x = 356,443.93

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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.