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Finding the Fourth Proportional to 403,219.60, 604,829.40 and 278,803.60

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Solution

The fourth proportional to 403,219.60, 604,829.40 and 278,803.60 is: 418,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,219.60 : 604,829.40 = 278,803.60 : x
  2. Step 2: Convert to fraction form
    403,219.60/604,829.40 = 278,803.60/x
  3. Step 3: Cross multiply
    403,219.60x = 604,829.40 × 278,803.60
  4. Step 4: Simplify right side
    403,219.60x = 168,628,614,105.84
  5. Step 5: Solve for x
    x = 168,628,614,105.84/403,219.60
  6. Step 6: Final answer
    x = 418,205.40

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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.