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Finding the Fourth Proportional to 412,051.20, 617,155.20 and 402,835.20

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Solution

The fourth proportional to 412,051.20, 617,155.20 and 402,835.20 is: 603,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,051.20 : 617,155.20 = 402,835.20 : x
  2. Step 2: Convert to fraction form
    412,051.20/617,155.20 = 402,835.20/x
  3. Step 3: Cross multiply
    412,051.20x = 617,155.20 × 402,835.20
  4. Step 4: Simplify right side
    412,051.20x = 248,611,838,423.04
  5. Step 5: Solve for x
    x = 248,611,838,423.04/412,051.20
  6. Step 6: Final answer
    x = 603,351.81

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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.