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Finding the Fourth Proportional to 510,973.28, 705,164.88 and 284,618.88

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Solution

The fourth proportional to 510,973.28, 705,164.88 and 284,618.88 is: 392,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,973.28 : 705,164.88 = 284,618.88 : x
  2. Step 2: Convert to fraction form
    510,973.28/705,164.88 = 284,618.88/x
  3. Step 3: Cross multiply
    510,973.28x = 705,164.88 × 284,618.88
  4. Step 4: Simplify right side
    510,973.28x = 200,703,238,360.93
  5. Step 5: Solve for x
    x = 200,703,238,360.93/510,973.28
  6. Step 6: Final answer
    x = 392,786.17

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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.