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Finding the Fourth Proportional to 664,646.50, 917,212.17 and 362,840.50

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Solution

The fourth proportional to 664,646.50, 917,212.17 and 362,840.50 is: 500,719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,646.50 : 917,212.17 = 362,840.50 : x
  2. Step 2: Convert to fraction form
    664,646.50/917,212.17 = 362,840.50/x
  3. Step 3: Cross multiply
    664,646.50x = 917,212.17 × 362,840.50
  4. Step 4: Simplify right side
    664,646.50x = 332,801,722,368.89
  5. Step 5: Solve for x
    x = 332,801,722,368.89/664,646.50
  6. Step 6: Final answer
    x = 500,719.89

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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.