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Finding the Fourth Proportional to 510,859.15, 704,957.93 and 281,371.77

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Solution

The fourth proportional to 510,859.15, 704,957.93 and 281,371.77 is: 388,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,859.15 : 704,957.93 = 281,371.77 : x
  2. Step 2: Convert to fraction form
    510,859.15/704,957.93 = 281,371.77/x
  3. Step 3: Cross multiply
    510,859.15x = 704,957.93 × 281,371.77
  4. Step 4: Simplify right side
    510,859.15x = 198,355,260,895.17
  5. Step 5: Solve for x
    x = 198,355,260,895.17/510,859.15
  6. Step 6: Final answer
    x = 388,277.79

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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.