Finding the Fourth Proportional to 507,172,657,002.90, 699,898,717,656.65 and 275,686,176,272.09
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Solution
The fourth proportional to 507,172,657,002.90, 699,898,717,656.65 and 275,686,176,272.09 is: 380,447,168,403.63
Step by Step Solution
- Step 1: Write the proportion equation
507,172,657,002.90 : 699,898,717,656.65 = 275,686,176,272.09 : x - Step 2: Convert to fraction form
507,172,657,002.90/699,898,717,656.65 = 275,686,176,272.09/x - Step 3: Cross multiply
507,172,657,002.90x = 699,898,717,656.65 × 275,686,176,272.09 - Step 4: Simplify right side
507,172,657,002.90x = 192,952,401,248,500,989,296,640 - Step 5: Solve for x
x = 192,952,401,248,500,989,296,640/507,172,657,002.90 - Step 6: Final answer
x = 380,447,168,403.63
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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.