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Finding the Fourth Proportional to 493,595.19, 681,165.90 and 289,649.54

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Solution

The fourth proportional to 493,595.19, 681,165.90 and 289,649.54 is: 399,719.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,595.19 : 681,165.90 = 289,649.54 : x
  2. Step 2: Convert to fraction form
    493,595.19/681,165.90 = 289,649.54/x
  3. Step 3: Cross multiply
    493,595.19x = 681,165.90 × 289,649.54
  4. Step 4: Simplify right side
    493,595.19x = 197,299,386,192.86
  5. Step 5: Solve for x
    x = 197,299,386,192.86/493,595.19
  6. Step 6: Final answer
    x = 399,719.02

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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.