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Finding the Fourth Proportional to 510,906, 767,037.24 and 436,504.08

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Solution

The fourth proportional to 510,906, 767,037.24 and 436,504.08 is: 655,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,906 : 767,037.24 = 436,504.08 : x
  2. Step 2: Convert to fraction form
    510,906/767,037.24 = 436,504.08/x
  3. Step 3: Cross multiply
    510,906x = 767,037.24 × 436,504.08
  4. Step 4: Simplify right side
    510,906x = 334,814,884,771.94
  5. Step 5: Solve for x
    x = 334,814,884,771.94/510,906
  6. Step 6: Final answer
    x = 655,335.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.