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Finding the Fourth Proportional to 459,507.04, 634,022.40 and 278,183.68

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Solution

The fourth proportional to 459,507.04, 634,022.40 and 278,183.68 is: 383,834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,507.04 : 634,022.40 = 278,183.68 : x
  2. Step 2: Convert to fraction form
    459,507.04/634,022.40 = 278,183.68/x
  3. Step 3: Cross multiply
    459,507.04x = 634,022.40 × 278,183.68
  4. Step 4: Simplify right side
    459,507.04x = 176,374,684,434.43
  5. Step 5: Solve for x
    x = 176,374,684,434.43/459,507.04
  6. Step 6: Final answer
    x = 383,834.56

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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.