Finding the Fourth Proportional to 288,292,877,162.55, 432,136,603,389.97 and 96,998,502,478.93
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Solution
The fourth proportional to 288,292,877,162.55, 432,136,603,389.97 and 96,998,502,478.93 is: 145,395,903,664.75
Step by Step Solution
- Step 1: Write the proportion equation
288,292,877,162.55 : 432,136,603,389.97 = 96,998,502,478.93 : x - Step 2: Convert to fraction form
288,292,877,162.55/432,136,603,389.97 = 96,998,502,478.93/x - Step 3: Cross multiply
288,292,877,162.55x = 432,136,603,389.97 × 96,998,502,478.93 - Step 4: Simplify right side
288,292,877,162.55x = 41,916,603,395,158,390,603,776 - Step 5: Solve for x
x = 41,916,603,395,158,390,603,776/288,292,877,162.55 - Step 6: Final answer
x = 145,395,903,664.75
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.