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Finding the Fourth Proportional to 510,347.50, 704,274 and 280,899.88

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Solution

The fourth proportional to 510,347.50, 704,274 and 280,899.88 is: 387,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,347.50 : 704,274 = 280,899.88 : x
  2. Step 2: Convert to fraction form
    510,347.50/704,274 = 280,899.88/x
  3. Step 3: Cross multiply
    510,347.50x = 704,274 × 280,899.88
  4. Step 4: Simplify right side
    510,347.50x = 197,830,482,087.12
  5. Step 5: Solve for x
    x = 197,830,482,087.12/510,347.50
  6. Step 6: Final answer
    x = 387,638.78

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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.