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Finding the Fourth Proportional to 459,543.72, 634,227.30 and 258,339.72

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Solution

The fourth proportional to 459,543.72, 634,227.30 and 258,339.72 is: 356,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,543.72 : 634,227.30 = 258,339.72 : x
  2. Step 2: Convert to fraction form
    459,543.72/634,227.30 = 258,339.72/x
  3. Step 3: Cross multiply
    459,543.72x = 634,227.30 × 258,339.72
  4. Step 4: Simplify right side
    459,543.72x = 163,846,103,098.36
  5. Step 5: Solve for x
    x = 163,846,103,098.36/459,543.72
  6. Step 6: Final answer
    x = 356,540.84

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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.