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Finding the Fourth Proportional to 678,410.40, 1,017,730.80 and 362,781.60

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Solution

The fourth proportional to 678,410.40, 1,017,730.80 and 362,781.60 is: 544,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,410.40 : 1,017,730.80 = 362,781.60 : x
  2. Step 2: Convert to fraction form
    678,410.40/1,017,730.80 = 362,781.60/x
  3. Step 3: Cross multiply
    678,410.40x = 1,017,730.80 × 362,781.60
  4. Step 4: Simplify right side
    678,410.40x = 369,214,007,993.28
  5. Step 5: Solve for x
    x = 369,214,007,993.28/678,410.40
  6. Step 6: Final answer
    x = 544,234.00

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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.