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Finding the Fourth Proportional to 403,881.20, 605,821.80 and 401,116.40

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Solution

The fourth proportional to 403,881.20, 605,821.80 and 401,116.40 is: 601,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,881.20 : 605,821.80 = 401,116.40 : x
  2. Step 2: Convert to fraction form
    403,881.20/605,821.80 = 401,116.40/x
  3. Step 3: Cross multiply
    403,881.20x = 605,821.80 × 401,116.40
  4. Step 4: Simplify right side
    403,881.20x = 243,005,059,457.52
  5. Step 5: Solve for x
    x = 243,005,059,457.52/403,881.20
  6. Step 6: Final answer
    x = 601,674.60

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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.