Finding the Fourth Proportional to 316,409,908,260.42, 436,683,106,534.68 and 187,951,864,400.34
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Solution
The fourth proportional to 316,409,908,260.42, 436,683,106,534.68 and 187,951,864,400.34 is: 259,395,808,672.89
Step by Step Solution
- Step 1: Write the proportion equation
316,409,908,260.42 : 436,683,106,534.68 = 187,951,864,400.34 : x - Step 2: Convert to fraction form
316,409,908,260.42/436,683,106,534.68 = 187,951,864,400.34/x - Step 3: Cross multiply
316,409,908,260.42x = 436,683,106,534.68 × 187,951,864,400.34 - Step 4: Simplify right side
316,409,908,260.42x = 82,075,404,025,325,395,378,176 - Step 5: Solve for x
x = 82,075,404,025,325,395,378,176/316,409,908,260.42 - Step 6: Final answer
x = 259,395,808,672.89
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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.