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Finding the Fourth Proportional to 553,600.80, 829,234.80 and 460,288.80

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Solution

The fourth proportional to 553,600.80, 829,234.80 and 460,288.80 is: 689,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,600.80 : 829,234.80 = 460,288.80 : x
  2. Step 2: Convert to fraction form
    553,600.80/829,234.80 = 460,288.80/x
  3. Step 3: Cross multiply
    553,600.80x = 829,234.80 × 460,288.80
  4. Step 4: Simplify right side
    553,600.80x = 381,687,491,010.24
  5. Step 5: Solve for x
    x = 381,687,491,010.24/553,600.80
  6. Step 6: Final answer
    x = 689,463.40

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1.5x scale

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.