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Finding the Fourth Proportional to 459,867.60, 634,629.60 and 278,541

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Solution

The fourth proportional to 459,867.60, 634,629.60 and 278,541 is: 384,394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,867.60 : 634,629.60 = 278,541 : x
  2. Step 2: Convert to fraction form
    459,867.60/634,629.60 = 278,541/x
  3. Step 3: Cross multiply
    459,867.60x = 634,629.60 × 278,541
  4. Step 4: Simplify right side
    459,867.60x = 176,770,363,413.60
  5. Step 5: Solve for x
    x = 176,770,363,413.60/459,867.60
  6. Step 6: Final answer
    x = 384,394.04

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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.