Finding the Fourth Proportional to 1,559,115,115.11, 2,337,907,394.34 and 771,258,483.63
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Solution
The fourth proportional to 1,559,115,115.11, 2,337,907,394.34 and 771,258,483.63 is: 1,156,509,159.81
Step by Step Solution
- Step 1: Write the proportion equation
1,559,115,115.11 : 2,337,907,394.34 = 771,258,483.63 : x - Step 2: Convert to fraction form
1,559,115,115.11/2,337,907,394.34 = 771,258,483.63/x - Step 3: Cross multiply
1,559,115,115.11x = 2,337,907,394.34 × 771,258,483.63 - Step 4: Simplify right side
1,559,115,115.11x = 1,803,130,911,826,032,896 - Step 5: Solve for x
x = 1,803,130,911,826,032,896/1,559,115,115.11 - Step 6: Final answer
x = 1,156,509,159.81
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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.