Finding the Fourth Proportional to 319,200,138,862.24, 440,495,904,134.72 and 180,180,688,848.96
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Solution
The fourth proportional to 319,200,138,862.24, 440,495,904,134.72 and 180,180,688,848.96 is: 248,649,188,327.56
Step by Step Solution
- Step 1: Write the proportion equation
319,200,138,862.24 : 440,495,904,134.72 = 180,180,688,848.96 : x - Step 2: Convert to fraction form
319,200,138,862.24/440,495,904,134.72 = 180,180,688,848.96/x - Step 3: Cross multiply
319,200,138,862.24x = 440,495,904,134.72 × 180,180,688,848.96 - Step 4: Simplify right side
319,200,138,862.24x = 79,368,855,442,139,283,193,856 - Step 5: Solve for x
x = 79,368,855,442,139,283,193,856/319,200,138,862.24 - Step 6: Final answer
x = 248,649,188,327.56
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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.