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Finding the Fourth Proportional to 408,870.40, 613,305.60 and 390,499.60

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Solution

The fourth proportional to 408,870.40, 613,305.60 and 390,499.60 is: 585,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,870.40 : 613,305.60 = 390,499.60 : x
  2. Step 2: Convert to fraction form
    408,870.40/613,305.60 = 390,499.60/x
  3. Step 3: Cross multiply
    408,870.40x = 613,305.60 × 390,499.60
  4. Step 4: Simplify right side
    408,870.40x = 239,495,591,477.76
  5. Step 5: Solve for x
    x = 239,495,591,477.76/408,870.40
  6. Step 6: Final answer
    x = 585,749.40

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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.