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Finding the Fourth Proportional to 510,636.64, 704,679.60 and 284,290.24

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Solution

The fourth proportional to 510,636.64, 704,679.60 and 284,290.24 is: 392,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,636.64 : 704,679.60 = 284,290.24 : x
  2. Step 2: Convert to fraction form
    510,636.64/704,679.60 = 284,290.24/x
  3. Step 3: Cross multiply
    510,636.64x = 704,679.60 × 284,290.24
  4. Step 4: Simplify right side
    510,636.64x = 200,333,532,607.10
  5. Step 5: Solve for x
    x = 200,333,532,607.10/510,636.64
  6. Step 6: Final answer
    x = 392,321.11

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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.