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Finding the Fourth Proportional to 452,201.60, 678,399.60 and 136,690.40

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Solution

The fourth proportional to 452,201.60, 678,399.60 and 136,690.40 is: 205,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,201.60 : 678,399.60 = 136,690.40 : x
  2. Step 2: Convert to fraction form
    452,201.60/678,399.60 = 136,690.40/x
  3. Step 3: Cross multiply
    452,201.60x = 678,399.60 × 136,690.40
  4. Step 4: Simplify right side
    452,201.60x = 92,730,712,683.84
  5. Step 5: Solve for x
    x = 92,730,712,683.84/452,201.60
  6. Step 6: Final answer
    x = 205,064.98

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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.