Finding the Fourth Proportional to 368,288,411,178.04, 508,232,642,722.84 and 205,710,370,502.20
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Solution
The fourth proportional to 368,288,411,178.04, 508,232,642,722.84 and 205,710,370,502.20 is: 283,877,314,796.33
Step by Step Solution
- Step 1: Write the proportion equation
368,288,411,178.04 : 508,232,642,722.84 = 205,710,370,502.20 : x - Step 2: Convert to fraction form
368,288,411,178.04/508,232,642,722.84 = 205,710,370,502.20/x - Step 3: Cross multiply
368,288,411,178.04x = 508,232,642,722.84 × 205,710,370,502.20 - Step 4: Simplify right side
368,288,411,178.04x = 104,548,725,235,827,674,710,016 - Step 5: Solve for x
x = 104,548,725,235,827,674,710,016/368,288,411,178.04 - Step 6: Final answer
x = 283,877,314,796.33
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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.