Finding the Fourth Proportional to 565,349,401.02, 780,170,985.68 and 314,448,395.74
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Solution
The fourth proportional to 565,349,401.02, 780,170,985.68 and 314,448,395.74 is: 433,932,563.49
Step by Step Solution
- Step 1: Write the proportion equation
565,349,401.02 : 780,170,985.68 = 314,448,395.74 : x - Step 2: Convert to fraction form
565,349,401.02/780,170,985.68 = 314,448,395.74/x - Step 3: Cross multiply
565,349,401.02x = 780,170,985.68 × 314,448,395.74 - Step 4: Simplify right side
565,349,401.02x = 245,323,514,849,970,496 - Step 5: Solve for x
x = 245,323,514,849,970,496/565,349,401.02 - Step 6: Final answer
x = 433,932,563.49
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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.