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Finding the Fourth Proportional to 459,393.96, 689,036.28 and 122,459.88

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Solution

The fourth proportional to 459,393.96, 689,036.28 and 122,459.88 is: 183,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,393.96 : 689,036.28 = 122,459.88 : x
  2. Step 2: Convert to fraction form
    459,393.96/689,036.28 = 122,459.88/x
  3. Step 3: Cross multiply
    459,393.96x = 689,036.28 × 122,459.88
  4. Step 4: Simplify right side
    459,393.96x = 84,379,300,164.45
  5. Step 5: Solve for x
    x = 84,379,300,164.45/459,393.96
  6. Step 6: Final answer
    x = 183,675.25

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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.