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Finding the Fourth Proportional to 493,848.64, 681,475.80 and 289,907.92

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Solution

The fourth proportional to 493,848.64, 681,475.80 and 289,907.92 is: 400,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,848.64 : 681,475.80 = 289,907.92 : x
  2. Step 2: Convert to fraction form
    493,848.64/681,475.80 = 289,907.92/x
  3. Step 3: Cross multiply
    493,848.64x = 681,475.80 × 289,907.92
  4. Step 4: Simplify right side
    493,848.64x = 197,565,231,708.34
  5. Step 5: Solve for x
    x = 197,565,231,708.34/493,848.64
  6. Step 6: Final answer
    x = 400,052.19

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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.