Finding the Fourth Proportional to 520,243,015,686.10, 717,877,134,824.99 and 288,766,291,254.70
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Solution
The fourth proportional to 520,243,015,686.10, 717,877,134,824.99 and 288,766,291,254.70 is: 398,465,162,529.05
Step by Step Solution
- Step 1: Write the proportion equation
520,243,015,686.10 : 717,877,134,824.99 = 288,766,291,254.70 : x - Step 2: Convert to fraction form
520,243,015,686.10/717,877,134,824.99 = 288,766,291,254.70/x - Step 3: Cross multiply
520,243,015,686.10x = 717,877,134,824.99 × 288,766,291,254.70 - Step 4: Simplify right side
520,243,015,686.10x = 207,298,717,799,962,594,246,656 - Step 5: Solve for x
x = 207,298,717,799,962,594,246,656/520,243,015,686.10 - Step 6: Final answer
x = 398,465,162,529.05
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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.