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Finding the Fourth Proportional to 510,954.54, 705,083.53 and 306,884.20

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Solution

The fourth proportional to 510,954.54, 705,083.53 and 306,884.20 is: 423,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,954.54 : 705,083.53 = 306,884.20 : x
  2. Step 2: Convert to fraction form
    510,954.54/705,083.53 = 306,884.20/x
  3. Step 3: Cross multiply
    510,954.54x = 705,083.53 × 306,884.20
  4. Step 4: Simplify right side
    510,954.54x = 216,378,993,502.81
  5. Step 5: Solve for x
    x = 216,378,993,502.81/510,954.54
  6. Step 6: Final answer
    x = 423,479.93

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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.