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Finding the Fourth Proportional to 289,039.59, 398,875.46 and 159,987.02

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Solution

The fourth proportional to 289,039.59, 398,875.46 and 159,987.02 is: 220,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,039.59 : 398,875.46 = 159,987.02 : x
  2. Step 2: Convert to fraction form
    289,039.59/398,875.46 = 159,987.02/x
  3. Step 3: Cross multiply
    289,039.59x = 398,875.46 × 159,987.02
  4. Step 4: Simplify right side
    289,039.59x = 63,814,893,402.22
  5. Step 5: Solve for x
    x = 63,814,893,402.22/289,039.59
  6. Step 6: Final answer
    x = 220,782.54

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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.