Finding the Fourth Proportional to 217,800,292,252.70, 300,564,692,848.44 and 120,139,730,226.58
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Solution
The fourth proportional to 217,800,292,252.70, 300,564,692,848.44 and 120,139,730,226.58 is: 165,792,987,424.23
Step by Step Solution
- Step 1: Write the proportion equation
217,800,292,252.70 : 300,564,692,848.44 = 120,139,730,226.58 : x - Step 2: Convert to fraction form
217,800,292,252.70/300,564,692,848.44 = 120,139,730,226.58/x - Step 3: Cross multiply
217,800,292,252.70x = 300,564,692,848.44 × 120,139,730,226.58 - Step 4: Simplify right side
217,800,292,252.70x = 36,109,761,114,446,460,092,416 - Step 5: Solve for x
x = 36,109,761,114,446,460,092,416/217,800,292,252.70 - Step 6: Final answer
x = 165,792,987,424.23
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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.