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Finding the Fourth Proportional to 401,077.20, 601,615.80 and 398,312.40

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Solution

The fourth proportional to 401,077.20, 601,615.80 and 398,312.40 is: 597,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,077.20 : 601,615.80 = 398,312.40 : x
  2. Step 2: Convert to fraction form
    401,077.20/601,615.80 = 398,312.40/x
  3. Step 3: Cross multiply
    401,077.20x = 601,615.80 × 398,312.40
  4. Step 4: Simplify right side
    401,077.20x = 239,631,033,175.92
  5. Step 5: Solve for x
    x = 239,631,033,175.92/401,077.20
  6. Step 6: Final answer
    x = 597,468.60

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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.