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Finding the Fourth Proportional to 412,312.29, 617,758.38 and 322,320

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Solution

The fourth proportional to 412,312.29, 617,758.38 and 322,320 is: 482,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,312.29 : 617,758.38 = 322,320 : x
  2. Step 2: Convert to fraction form
    412,312.29/617,758.38 = 322,320/x
  3. Step 3: Cross multiply
    412,312.29x = 617,758.38 × 322,320
  4. Step 4: Simplify right side
    412,312.29x = 199,115,881,041.60
  5. Step 5: Solve for x
    x = 199,115,881,041.60/412,312.29
  6. Step 6: Final answer
    x = 482,924.92

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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.