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Finding the Fourth Proportional to 510,405.30, 704,352.39 and 284,050.80

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Solution

The fourth proportional to 510,405.30, 704,352.39 and 284,050.80 is: 391,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,405.30 : 704,352.39 = 284,050.80 : x
  2. Step 2: Convert to fraction form
    510,405.30/704,352.39 = 284,050.80/x
  3. Step 3: Cross multiply
    510,405.30x = 704,352.39 × 284,050.80
  4. Step 4: Simplify right side
    510,405.30x = 200,071,859,861.41
  5. Step 5: Solve for x
    x = 200,071,859,861.41/510,405.30
  6. Step 6: Final answer
    x = 391,986.25

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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.