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Finding the Fourth Proportional to 510,812.12, 704,894.67 and 281,364.47

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Solution

The fourth proportional to 510,812.12, 704,894.67 and 281,364.47 is: 388,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,812.12 : 704,894.67 = 281,364.47 : x
  2. Step 2: Convert to fraction form
    510,812.12/704,894.67 = 281,364.47/x
  3. Step 3: Cross multiply
    510,812.12x = 704,894.67 × 281,364.47
  4. Step 4: Simplify right side
    510,812.12x = 198,332,314,171.55
  5. Step 5: Solve for x
    x = 198,332,314,171.55/510,812.12
  6. Step 6: Final answer
    x = 388,268.61

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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.