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Finding the Fourth Proportional to 411,686.40, 617,529.60 and 285,715.20

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Solution

The fourth proportional to 411,686.40, 617,529.60 and 285,715.20 is: 428,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,686.40 : 617,529.60 = 285,715.20 : x
  2. Step 2: Convert to fraction form
    411,686.40/617,529.60 = 285,715.20/x
  3. Step 3: Cross multiply
    411,686.40x = 617,529.60 × 285,715.20
  4. Step 4: Simplify right side
    411,686.40x = 176,437,593,169.92
  5. Step 5: Solve for x
    x = 176,437,593,169.92/411,686.40
  6. Step 6: Final answer
    x = 428,572.80

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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.