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Finding the Fourth Proportional to 306,316.84, 459,423.42 and 84,649

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Solution

The fourth proportional to 306,316.84, 459,423.42 and 84,649 is: 126,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,316.84 : 459,423.42 = 84,649 : x
  2. Step 2: Convert to fraction form
    306,316.84/459,423.42 = 84,649/x
  3. Step 3: Cross multiply
    306,316.84x = 459,423.42 × 84,649
  4. Step 4: Simplify right side
    306,316.84x = 38,889,733,079.58
  5. Step 5: Solve for x
    x = 38,889,733,079.58/306,316.84
  6. Step 6: Final answer
    x = 126,959.17

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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.