Finding the Fourth Proportional to 2,106,417,510.36, 3,159,834,905.34 and 778,793,649.12
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Solution
The fourth proportional to 2,106,417,510.36, 3,159,834,905.34 and 778,793,649.12 is: 1,168,267,612.88
Step by Step Solution
- Step 1: Write the proportion equation
2,106,417,510.36 : 3,159,834,905.34 = 778,793,649.12 : x - Step 2: Convert to fraction form
2,106,417,510.36/3,159,834,905.34 = 778,793,649.12/x - Step 3: Cross multiply
2,106,417,510.36x = 3,159,834,905.34 × 778,793,649.12 - Step 4: Simplify right side
2,106,417,510.36x = 2,460,859,356,546,488,320 - Step 5: Solve for x
x = 2,460,859,356,546,488,320/2,106,417,510.36 - Step 6: Final answer
x = 1,168,267,612.88
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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.