Finding the Fourth Proportional to 1,029,302,421.48, 1,420,448,312.34 and 559,403,767.08
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Solution
The fourth proportional to 1,029,302,421.48, 1,420,448,312.34 and 559,403,767.08 is: 771,983,160.91
Step by Step Solution
- Step 1: Write the proportion equation
1,029,302,421.48 : 1,420,448,312.34 = 559,403,767.08 : x - Step 2: Convert to fraction form
1,029,302,421.48/1,420,448,312.34 = 559,403,767.08/x - Step 3: Cross multiply
1,029,302,421.48x = 1,420,448,312.34 × 559,403,767.08 - Step 4: Simplify right side
1,029,302,421.48x = 794,604,136,865,424,512 - Step 5: Solve for x
x = 794,604,136,865,424,512/1,029,302,421.48 - Step 6: Final answer
x = 771,983,160.91
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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.