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Finding the Fourth Proportional to 459,414.21, 634,005.32 and 278,159.30

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Solution

The fourth proportional to 459,414.21, 634,005.32 and 278,159.30 is: 383,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,414.21 : 634,005.32 = 278,159.30 : x
  2. Step 2: Convert to fraction form
    459,414.21/634,005.32 = 278,159.30/x
  3. Step 3: Cross multiply
    459,414.21x = 634,005.32 × 278,159.30
  4. Step 4: Simplify right side
    459,414.21x = 176,354,476,007.48
  5. Step 5: Solve for x
    x = 176,354,476,007.48/459,414.21
  6. Step 6: Final answer
    x = 383,868.14

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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.