Finding the Fourth Proportional to 408,246,746,207.68, 563,380,564,928.15 and 225,343,882,367.89
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Solution
The fourth proportional to 408,246,746,207.68, 563,380,564,928.15 and 225,343,882,367.89 is: 310,974,588,115.74
Step by Step Solution
- Step 1: Write the proportion equation
408,246,746,207.68 : 563,380,564,928.15 = 225,343,882,367.89 : x - Step 2: Convert to fraction form
408,246,746,207.68/563,380,564,928.15 = 225,343,882,367.89/x - Step 3: Cross multiply
408,246,746,207.68x = 563,380,564,928.15 × 225,343,882,367.89 - Step 4: Simplify right side
408,246,746,207.68x = 126,954,363,751,524,454,105,088 - Step 5: Solve for x
x = 126,954,363,751,524,454,105,088/408,246,746,207.68 - Step 6: Final answer
x = 310,974,588,115.74
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.