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Finding the Fourth Proportional to 510,952.91, 705,081.28 and 306,882.57

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Solution

The fourth proportional to 510,952.91, 705,081.28 and 306,882.57 is: 423,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,952.91 : 705,081.28 = 306,882.57 : x
  2. Step 2: Convert to fraction form
    510,952.91/705,081.28 = 306,882.57/x
  3. Step 3: Cross multiply
    510,952.91x = 705,081.28 × 306,882.57
  4. Step 4: Simplify right side
    510,952.91x = 216,377,158,580.65
  5. Step 5: Solve for x
    x = 216,377,158,580.65/510,952.91
  6. Step 6: Final answer
    x = 423,477.69

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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.