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Finding the Fourth Proportional to 510,899.16, 705,062.64 and 284,544.68

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Solution

The fourth proportional to 510,899.16, 705,062.64 and 284,544.68 is: 392,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,899.16 : 705,062.64 = 284,544.68 : x
  2. Step 2: Convert to fraction form
    510,899.16/705,062.64 = 284,544.68/x
  3. Step 3: Cross multiply
    510,899.16x = 705,062.64 × 284,544.68
  4. Step 4: Simplify right side
    510,899.16x = 200,621,823,278.76
  5. Step 5: Solve for x
    x = 200,621,823,278.76/510,899.16
  6. Step 6: Final answer
    x = 392,683.80

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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.