Finding the Fourth Proportional to 288,197,996,197.02, 432,209,959,206.49 and 86,686,237,509.05
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Solution
The fourth proportional to 288,197,996,197.02, 432,209,959,206.49 and 86,686,237,509.05 is: 130,003,177,232.15
Step by Step Solution
- Step 1: Write the proportion equation
288,197,996,197.02 : 432,209,959,206.49 = 86,686,237,509.05 : x - Step 2: Convert to fraction form
288,197,996,197.02/432,209,959,206.49 = 86,686,237,509.05/x - Step 3: Cross multiply
288,197,996,197.02x = 432,209,959,206.49 × 86,686,237,509.05 - Step 4: Simplify right side
288,197,996,197.02x = 37,466,655,177,551,896,379,392 - Step 5: Solve for x
x = 37,466,655,177,551,896,379,392/288,197,996,197.02 - Step 6: Final answer
x = 130,003,177,232.15
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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.