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Finding the Fourth Proportional to 459,750.74, 689,652.01 and 139,913.01

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Solution

The fourth proportional to 459,750.74, 689,652.01 and 139,913.01 is: 209,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,750.74 : 689,652.01 = 139,913.01 : x
  2. Step 2: Convert to fraction form
    459,750.74/689,652.01 = 139,913.01/x
  3. Step 3: Cross multiply
    459,750.74x = 689,652.01 × 139,913.01
  4. Step 4: Simplify right side
    459,750.74x = 96,491,288,571.65
  5. Step 5: Solve for x
    x = 96,491,288,571.65/459,750.74
  6. Step 6: Final answer
    x = 209,877.40

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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.