Finding the Fourth Proportional to 508,470,271.74, 762,939,974.34 and 232,206,175.53
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Solution
The fourth proportional to 508,470,271.74, 762,939,974.34 and 232,206,175.53 is: 348,416,384.29
Step by Step Solution
- Step 1: Write the proportion equation
508,470,271.74 : 762,939,974.34 = 232,206,175.53 : x - Step 2: Convert to fraction form
508,470,271.74/762,939,974.34 = 232,206,175.53/x - Step 3: Cross multiply
508,470,271.74x = 762,939,974.34 × 232,206,175.53 - Step 4: Simplify right side
508,470,271.74x = 177,159,373,600,447,744 - Step 5: Solve for x
x = 177,159,373,600,447,744/508,470,271.74 - Step 6: Final answer
x = 348,416,384.29
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1.5x scale
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.