Finding the Fourth Proportional to 1,275,563,258.84, 1,760,277,282.90 and 688,852,394.84
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Solution
The fourth proportional to 1,275,563,258.84, 1,760,277,282.90 and 688,852,394.84 is: 950,616,297.16
Step by Step Solution
- Step 1: Write the proportion equation
1,275,563,258.84 : 1,760,277,282.90 = 688,852,394.84 : x - Step 2: Convert to fraction form
1,275,563,258.84/1,760,277,282.90 = 688,852,394.84/x - Step 3: Cross multiply
1,275,563,258.84x = 1,760,277,282.90 × 688,852,394.84 - Step 4: Simplify right side
1,275,563,258.84x = 1,212,571,221,908,113,408 - Step 5: Solve for x
x = 1,212,571,221,908,113,408/1,275,563,258.84 - Step 6: Final answer
x = 950,616,297.16
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1.5x scale
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.