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Finding the Fourth Proportional to 510,856.08, 705,036.78 and 281,436.88

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Solution

The fourth proportional to 510,856.08, 705,036.78 and 281,436.88 is: 388,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,856.08 : 705,036.78 = 281,436.88 : x
  2. Step 2: Convert to fraction form
    510,856.08/705,036.78 = 281,436.88/x
  3. Step 3: Cross multiply
    510,856.08x = 705,036.78 × 281,436.88
  4. Step 4: Simplify right side
    510,856.08x = 198,423,351,648.45
  5. Step 5: Solve for x
    x = 198,423,351,648.45/510,856.08
  6. Step 6: Final answer
    x = 388,413.41

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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.