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Finding the Fourth Proportional to 459,512.71, 634,121.90 and 258,308.71

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Solution

The fourth proportional to 459,512.71, 634,121.90 and 258,308.71 is: 356,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,512.71 : 634,121.90 = 258,308.71 : x
  2. Step 2: Convert to fraction form
    459,512.71/634,121.90 = 258,308.71/x
  3. Step 3: Cross multiply
    459,512.71x = 634,121.90 × 258,308.71
  4. Step 4: Simplify right side
    459,512.71x = 163,799,208,063.56
  5. Step 5: Solve for x
    x = 163,799,208,063.56/459,512.71
  6. Step 6: Final answer
    x = 356,462.85

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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.