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Finding the Fourth Proportional to 369,115.60, 552,361.20 and 256,266.40

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Solution

The fourth proportional to 369,115.60, 552,361.20 and 256,266.40 is: 383,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,115.60 : 552,361.20 = 256,266.40 : x
  2. Step 2: Convert to fraction form
    369,115.60/552,361.20 = 256,266.40/x
  3. Step 3: Cross multiply
    369,115.60x = 552,361.20 × 256,266.40
  4. Step 4: Simplify right side
    369,115.60x = 141,551,616,223.68
  5. Step 5: Solve for x
    x = 141,551,616,223.68/369,115.60
  6. Step 6: Final answer
    x = 383,488.58

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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.