Finding the Fourth Proportional to 509,951,210,438.70, 764,926,815,658.05 and 211,677,610,848.30
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Solution
The fourth proportional to 509,951,210,438.70, 764,926,815,658.05 and 211,677,610,848.30 is: 317,516,416,272.45
Step by Step Solution
- Step 1: Write the proportion equation
509,951,210,438.70 : 764,926,815,658.05 = 211,677,610,848.30 : x - Step 2: Convert to fraction form
509,951,210,438.70/764,926,815,658.05 = 211,677,610,848.30/x - Step 3: Cross multiply
509,951,210,438.70x = 764,926,815,658.05 × 211,677,610,848.30 - Step 4: Simplify right side
509,951,210,438.70x = 161,917,880,812,294,008,471,552 - Step 5: Solve for x
x = 161,917,880,812,294,008,471,552/509,951,210,438.70 - Step 6: Final answer
x = 317,516,416,272.45
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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.