Finding the Fourth Proportional to 288,197,996,231.84, 432,209,959,258.48 and 86,686,237,543.72
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Solution
The fourth proportional to 288,197,996,231.84, 432,209,959,258.48 and 86,686,237,543.72 is: 130,003,177,284.07
Step by Step Solution
- Step 1: Write the proportion equation
288,197,996,231.84 : 432,209,959,258.48 = 86,686,237,543.72 : x - Step 2: Convert to fraction form
288,197,996,231.84/432,209,959,258.48 = 86,686,237,543.72/x - Step 3: Cross multiply
288,197,996,231.84x = 432,209,959,258.48 × 86,686,237,543.72 - Step 4: Simplify right side
288,197,996,231.84x = 37,466,655,197,042,139,201,536 - Step 5: Solve for x
x = 37,466,655,197,042,139,201,536/288,197,996,231.84 - Step 6: Final answer
x = 130,003,177,284.07
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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.