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Finding the Fourth Proportional to 408,877.40, 613,316.10 and 390,506.60

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Solution

The fourth proportional to 408,877.40, 613,316.10 and 390,506.60 is: 585,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,877.40 : 613,316.10 = 390,506.60 : x
  2. Step 2: Convert to fraction form
    408,877.40/613,316.10 = 390,506.60/x
  3. Step 3: Cross multiply
    408,877.40x = 613,316.10 × 390,506.60
  4. Step 4: Simplify right side
    408,877.40x = 239,503,984,936.26
  5. Step 5: Solve for x
    x = 239,503,984,936.26/408,877.40
  6. Step 6: Final answer
    x = 585,759.90

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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.