Finding the Fourth Proportional to 414,406,467.21, 571,877,417.24 and 228,763,497.09
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Solution
The fourth proportional to 414,406,467.21, 571,877,417.24 and 228,763,497.09 is: 315,691,689.75
Step by Step Solution
- Step 1: Write the proportion equation
414,406,467.21 : 571,877,417.24 = 228,763,497.09 : x - Step 2: Convert to fraction form
414,406,467.21/571,877,417.24 = 228,763,497.09/x - Step 3: Cross multiply
414,406,467.21x = 571,877,417.24 × 228,763,497.09 - Step 4: Simplify right side
414,406,467.21x = 130,824,677,876,478,032 - Step 5: Solve for x
x = 130,824,677,876,478,032/414,406,467.21 - Step 6: Final answer
x = 315,691,689.75
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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.