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Finding the Fourth Proportional to 645,712.80, 968,223.60 and 271,312.80

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Solution

The fourth proportional to 645,712.80, 968,223.60 and 271,312.80 is: 406,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,712.80 : 968,223.60 = 271,312.80 : x
  2. Step 2: Convert to fraction form
    645,712.80/968,223.60 = 271,312.80/x
  3. Step 3: Cross multiply
    645,712.80x = 968,223.60 × 271,312.80
  4. Step 4: Simplify right side
    645,712.80x = 262,691,455,942.08
  5. Step 5: Solve for x
    x = 262,691,455,942.08/645,712.80
  6. Step 6: Final answer
    x = 406,823.99

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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.