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Finding the Fourth Proportional to 493,774.28, 681,702.17 and 312,641.48

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Solution

The fourth proportional to 493,774.28, 681,702.17 and 312,641.48 is: 431,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,774.28 : 681,702.17 = 312,641.48 : x
  2. Step 2: Convert to fraction form
    493,774.28/681,702.17 = 312,641.48/x
  3. Step 3: Cross multiply
    493,774.28x = 681,702.17 × 312,641.48
  4. Step 4: Simplify right side
    493,774.28x = 213,128,373,413.09
  5. Step 5: Solve for x
    x = 213,128,373,413.09/493,774.28
  6. Step 6: Final answer
    x = 431,631.17

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1.5x scale

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.