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Finding the Fourth Proportional to 510,890.92, 705,029.48 and 284,536.40

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Solution

The fourth proportional to 510,890.92, 705,029.48 and 284,536.40 is: 392,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,890.92 : 705,029.48 = 284,536.40 : x
  2. Step 2: Convert to fraction form
    510,890.92/705,029.48 = 284,536.40/x
  3. Step 3: Cross multiply
    510,890.92x = 705,029.48 × 284,536.40
  4. Step 4: Simplify right side
    510,890.92x = 200,606,550,133.07
  5. Step 5: Solve for x
    x = 200,606,550,133.07/510,890.92
  6. Step 6: Final answer
    x = 392,660.24

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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.