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Finding the Fourth Proportional to 510,859.13, 705,007.46 and 284,504.63

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Solution

The fourth proportional to 510,859.13, 705,007.46 and 284,504.63 is: 392,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,859.13 : 705,007.46 = 284,504.63 : x
  2. Step 2: Convert to fraction form
    510,859.13/705,007.46 = 284,504.63/x
  3. Step 3: Cross multiply
    510,859.13x = 705,007.46 × 284,504.63
  4. Step 4: Simplify right side
    510,859.13x = 200,577,883,740.76
  5. Step 5: Solve for x
    x = 200,577,883,740.76/510,859.13
  6. Step 6: Final answer
    x = 392,628.56

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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.