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Finding the Fourth Proportional to 493,407.90, 680,908.44 and 289,462.32

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Solution

The fourth proportional to 493,407.90, 680,908.44 and 289,462.32 is: 399,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,407.90 : 680,908.44 = 289,462.32 : x
  2. Step 2: Convert to fraction form
    493,407.90/680,908.44 = 289,462.32/x
  3. Step 3: Cross multiply
    493,407.90x = 680,908.44 × 289,462.32
  4. Step 4: Simplify right side
    493,407.90x = 197,097,336,749.98
  5. Step 5: Solve for x
    x = 197,097,336,749.98/493,407.90
  6. Step 6: Final answer
    x = 399,461.25

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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.