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Finding the Fourth Proportional to 409,218.90, 613,828.35 and 249,786.60

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Solution

The fourth proportional to 409,218.90, 613,828.35 and 249,786.60 is: 374,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,218.90 : 613,828.35 = 249,786.60 : x
  2. Step 2: Convert to fraction form
    409,218.90/613,828.35 = 249,786.60/x
  3. Step 3: Cross multiply
    409,218.90x = 613,828.35 × 249,786.60
  4. Step 4: Simplify right side
    409,218.90x = 153,326,096,530.11
  5. Step 5: Solve for x
    x = 153,326,096,530.11/409,218.90
  6. Step 6: Final answer
    x = 374,679.90

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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.