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Finding the Fourth Proportional to 459,403.88, 634,012.76 and 275,649.30

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Solution

The fourth proportional to 459,403.88, 634,012.76 and 275,649.30 is: 380,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,403.88 : 634,012.76 = 275,649.30 : x
  2. Step 2: Convert to fraction form
    459,403.88/634,012.76 = 275,649.30/x
  3. Step 3: Cross multiply
    459,403.88x = 634,012.76 × 275,649.30
  4. Step 4: Simplify right side
    459,403.88x = 174,765,173,485.07
  5. Step 5: Solve for x
    x = 174,765,173,485.07/459,403.88
  6. Step 6: Final answer
    x = 380,417.28

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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.