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Finding the Fourth Proportional to 306,054.35, 459,116.45 and 81,423.93

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Solution

The fourth proportional to 306,054.35, 459,116.45 and 81,423.93 is: 122,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,054.35 : 459,116.45 = 81,423.93 : x
  2. Step 2: Convert to fraction form
    306,054.35/459,116.45 = 81,423.93/x
  3. Step 3: Cross multiply
    306,054.35x = 459,116.45 × 81,423.93
  4. Step 4: Simplify right side
    306,054.35x = 37,383,065,279.53
  5. Step 5: Solve for x
    x = 37,383,065,279.53/306,054.35
  6. Step 6: Final answer
    x = 122,145.19

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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.