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Finding the Fourth Proportional to 461,866.36, 637,140.78 and 280,530.04

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Solution

The fourth proportional to 461,866.36, 637,140.78 and 280,530.04 is: 386,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,866.36 : 637,140.78 = 280,530.04 : x
  2. Step 2: Convert to fraction form
    461,866.36/637,140.78 = 280,530.04/x
  3. Step 3: Cross multiply
    461,866.36x = 637,140.78 × 280,530.04
  4. Step 4: Simplify right side
    461,866.36x = 178,737,128,499.03
  5. Step 5: Solve for x
    x = 178,737,128,499.03/461,866.36
  6. Step 6: Final answer
    x = 386,988.84

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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.