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Finding the Fourth Proportional to 617,664.32, 852,368.64 and 349,392.32

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Solution

The fourth proportional to 617,664.32, 852,368.64 and 349,392.32 is: 482,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,664.32 : 852,368.64 = 349,392.32 : x
  2. Step 2: Convert to fraction form
    617,664.32/852,368.64 = 349,392.32/x
  3. Step 3: Cross multiply
    617,664.32x = 852,368.64 × 349,392.32
  4. Step 4: Simplify right side
    617,664.32x = 297,811,056,624.85
  5. Step 5: Solve for x
    x = 297,811,056,624.85/617,664.32
  6. Step 6: Final answer
    x = 482,156.81

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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.