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Finding the Fourth Proportional to 288,003.60, 432,005.40 and 155,143.35

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Solution

The fourth proportional to 288,003.60, 432,005.40 and 155,143.35 is: 232,715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,003.60 : 432,005.40 = 155,143.35 : x
  2. Step 2: Convert to fraction form
    288,003.60/432,005.40 = 155,143.35/x
  3. Step 3: Cross multiply
    288,003.60x = 432,005.40 × 155,143.35
  4. Step 4: Simplify right side
    288,003.60x = 67,022,764,974.09
  5. Step 5: Solve for x
    x = 67,022,764,974.09/288,003.60
  6. Step 6: Final answer
    x = 232,715.03

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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.