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Finding the Fourth Proportional to 280,093.38, 386,533.47 and 152,768.97

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Solution

The fourth proportional to 280,093.38, 386,533.47 and 152,768.97 is: 210,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,093.38 : 386,533.47 = 152,768.97 : x
  2. Step 2: Convert to fraction form
    280,093.38/386,533.47 = 152,768.97/x
  3. Step 3: Cross multiply
    280,093.38x = 386,533.47 × 152,768.97
  4. Step 4: Simplify right side
    280,093.38x = 59,050,319,318.58
  5. Step 5: Solve for x
    x = 59,050,319,318.58/280,093.38
  6. Step 6: Final answer
    x = 210,823.69

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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.