Finding the Fourth Proportional to 438,122,159,536.53, 604,608,121,611.80 and 245,435,688,811.35
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Solution
The fourth proportional to 438,122,159,536.53, 604,608,121,611.80 and 245,435,688,811.35 is: 338,700,993,681.09
Step by Step Solution
- Step 1: Write the proportion equation
438,122,159,536.53 : 604,608,121,611.80 = 245,435,688,811.35 : x - Step 2: Convert to fraction form
438,122,159,536.53/604,608,121,611.80 = 245,435,688,811.35/x - Step 3: Cross multiply
438,122,159,536.53x = 604,608,121,611.80 × 245,435,688,811.35 - Step 4: Simplify right side
438,122,159,536.53x = 148,392,410,788,728,624,119,808 - Step 5: Solve for x
x = 148,392,410,788,728,624,119,808/438,122,159,536.53 - Step 6: Final answer
x = 338,700,993,681.09
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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.