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Finding the Fourth Proportional to 459,889.66, 689,917.92 and 190,018.32

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Solution

The fourth proportional to 459,889.66, 689,917.92 and 190,018.32 is: 285,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,889.66 : 689,917.92 = 190,018.32 : x
  2. Step 2: Convert to fraction form
    459,889.66/689,917.92 = 190,018.32/x
  3. Step 3: Cross multiply
    459,889.66x = 689,917.92 × 190,018.32
  4. Step 4: Simplify right side
    459,889.66x = 131,097,044,096.29
  5. Step 5: Solve for x
    x = 131,097,044,096.29/459,889.66
  6. Step 6: Final answer
    x = 285,061.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.