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Finding the Fourth Proportional to 411,957.60, 617,936.40 and 146,018.40

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Solution

The fourth proportional to 411,957.60, 617,936.40 and 146,018.40 is: 219,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,957.60 : 617,936.40 = 146,018.40 : x
  2. Step 2: Convert to fraction form
    411,957.60/617,936.40 = 146,018.40/x
  3. Step 3: Cross multiply
    411,957.60x = 617,936.40 × 146,018.40
  4. Step 4: Simplify right side
    411,957.60x = 90,230,084,429.76
  5. Step 5: Solve for x
    x = 90,230,084,429.76/411,957.60
  6. Step 6: Final answer
    x = 219,027.60

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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.