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Finding the Fourth Proportional to 408,528.40, 612,792.60 and 390,157.60

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Solution

The fourth proportional to 408,528.40, 612,792.60 and 390,157.60 is: 585,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,528.40 : 612,792.60 = 390,157.60 : x
  2. Step 2: Convert to fraction form
    408,528.40/612,792.60 = 390,157.60/x
  3. Step 3: Cross multiply
    408,528.40x = 612,792.60 × 390,157.60
  4. Step 4: Simplify right side
    408,528.40x = 239,085,690,113.76
  5. Step 5: Solve for x
    x = 239,085,690,113.76/408,528.40
  6. Step 6: Final answer
    x = 585,236.40

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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.