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Finding the Fourth Proportional to 459,418.58, 634,012.14 and 255,478.10

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Solution

The fourth proportional to 459,418.58, 634,012.14 and 255,478.10 is: 352,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,418.58 : 634,012.14 = 255,478.10 : x
  2. Step 2: Convert to fraction form
    459,418.58/634,012.14 = 255,478.10/x
  3. Step 3: Cross multiply
    459,418.58x = 634,012.14 × 255,478.10
  4. Step 4: Simplify right side
    459,418.58x = 161,976,216,102.84
  5. Step 5: Solve for x
    x = 161,976,216,102.84/459,418.58
  6. Step 6: Final answer
    x = 352,567.84

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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.