Finding the Fourth Proportional to 257,261,838,579.12, 355,031,132,289.92 and 143,084,715,798.72
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Solution
The fourth proportional to 257,261,838,579.12, 355,031,132,289.92 and 143,084,715,798.72 is: 197,462,355,645.02
Step by Step Solution
- Step 1: Write the proportion equation
257,261,838,579.12 : 355,031,132,289.92 = 143,084,715,798.72 : x - Step 2: Convert to fraction form
257,261,838,579.12/355,031,132,289.92 = 143,084,715,798.72/x - Step 3: Cross multiply
257,261,838,579.12x = 355,031,132,289.92 × 143,084,715,798.72 - Step 4: Simplify right side
257,261,838,579.12x = 50,799,528,663,400,962,850,816 - Step 5: Solve for x
x = 50,799,528,663,400,962,850,816/257,261,838,579.12 - Step 6: Final answer
x = 197,462,355,645.02
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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.