Finding the Fourth Proportional to 259,006,018,134.27, 357,404,318,507.80 and 143,260,286,607.99
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Solution
The fourth proportional to 259,006,018,134.27, 357,404,318,507.80 and 143,260,286,607.99 is: 197,685,928,200.39
Step by Step Solution
- Step 1: Write the proportion equation
259,006,018,134.27 : 357,404,318,507.80 = 143,260,286,607.99 : x - Step 2: Convert to fraction form
259,006,018,134.27/357,404,318,507.80 = 143,260,286,607.99/x - Step 3: Cross multiply
259,006,018,134.27x = 357,404,318,507.80 × 143,260,286,607.99 - Step 4: Simplify right side
259,006,018,134.27x = 51,201,845,104,360,766,308,352 - Step 5: Solve for x
x = 51,201,845,104,360,766,308,352/259,006,018,134.27 - Step 6: Final answer
x = 197,685,928,200.39
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.