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Finding the Fourth Proportional to 253,553.64, 380,410.05 and 152,468.07

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Solution

The fourth proportional to 253,553.64, 380,410.05 and 152,468.07 is: 228,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,553.64 : 380,410.05 = 152,468.07 : x
  2. Step 2: Convert to fraction form
    253,553.64/380,410.05 = 152,468.07/x
  3. Step 3: Cross multiply
    253,553.64x = 380,410.05 × 152,468.07
  4. Step 4: Simplify right side
    253,553.64x = 58,000,386,132.10
  5. Step 5: Solve for x
    x = 58,000,386,132.10/253,553.64
  6. Step 6: Final answer
    x = 228,749.96

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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.