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Finding the Fourth Proportional to 493,521.51, 681,054.42 and 278,648.76

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Solution

The fourth proportional to 493,521.51, 681,054.42 and 278,648.76 is: 384,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,521.51 : 681,054.42 = 278,648.76 : x
  2. Step 2: Convert to fraction form
    493,521.51/681,054.42 = 278,648.76/x
  3. Step 3: Cross multiply
    493,521.51x = 681,054.42 × 278,648.76
  4. Step 4: Simplify right side
    493,521.51x = 189,774,969,625.52
  5. Step 5: Solve for x
    x = 189,774,969,625.52/493,521.51
  6. Step 6: Final answer
    x = 384,532.32

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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.