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Finding the Fourth Proportional to 420,786.71, 580,509.50 and 257,319.40

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Solution

The fourth proportional to 420,786.71, 580,509.50 and 257,319.40 is: 354,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,786.71 : 580,509.50 = 257,319.40 : x
  2. Step 2: Convert to fraction form
    420,786.71/580,509.50 = 257,319.40/x
  3. Step 3: Cross multiply
    420,786.71x = 580,509.50 × 257,319.40
  4. Step 4: Simplify right side
    420,786.71x = 149,376,356,234.30
  5. Step 5: Solve for x
    x = 149,376,356,234.30/420,786.71
  6. Step 6: Final answer
    x = 354,993.05

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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.