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Finding the Fourth Proportional to 510,863.57, 705,013.59 and 284,509.07

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Solution

The fourth proportional to 510,863.57, 705,013.59 and 284,509.07 is: 392,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,863.57 : 705,013.59 = 284,509.07 : x
  2. Step 2: Convert to fraction form
    510,863.57/705,013.59 = 284,509.07/x
  3. Step 3: Cross multiply
    510,863.57x = 705,013.59 × 284,509.07
  4. Step 4: Simplify right side
    510,863.57x = 200,582,757,303.19
  5. Step 5: Solve for x
    x = 200,582,757,303.19/510,863.57
  6. Step 6: Final answer
    x = 392,634.69

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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.