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Finding the Fourth Proportional to 510,953.41, 705,081.97 and 306,883.08

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Solution

The fourth proportional to 510,953.41, 705,081.97 and 306,883.08 is: 423,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,953.41 : 705,081.97 = 306,883.08 : x
  2. Step 2: Convert to fraction form
    510,953.41/705,081.97 = 306,883.08/x
  3. Step 3: Cross multiply
    510,953.41x = 705,081.97 × 306,883.08
  4. Step 4: Simplify right side
    510,953.41x = 216,377,723,080.66
  5. Step 5: Solve for x
    x = 216,377,723,080.66/510,953.41
  6. Step 6: Final answer
    x = 423,478.38

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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.