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Finding the Fourth Proportional to 510,712.29, 704,755.57 and 281,224.77

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Solution

The fourth proportional to 510,712.29, 704,755.57 and 281,224.77 is: 388,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,712.29 : 704,755.57 = 281,224.77 : x
  2. Step 2: Convert to fraction form
    510,712.29/704,755.57 = 281,224.77/x
  3. Step 3: Cross multiply
    510,712.29x = 704,755.57 × 281,224.77
  4. Step 4: Simplify right side
    510,712.29x = 198,194,723,079.47
  5. Step 5: Solve for x
    x = 198,194,723,079.47/510,712.29
  6. Step 6: Final answer
    x = 388,075.10

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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.