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Finding the Fourth Proportional to 330,101.64, 495,072.72 and 152,437.86

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Solution

The fourth proportional to 330,101.64, 495,072.72 and 152,437.86 is: 228,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,101.64 : 495,072.72 = 152,437.86 : x
  2. Step 2: Convert to fraction form
    330,101.64/495,072.72 = 152,437.86/x
  3. Step 3: Cross multiply
    330,101.64x = 495,072.72 × 152,437.86
  4. Step 4: Simplify right side
    330,101.64x = 75,467,825,981.18
  5. Step 5: Solve for x
    x = 75,467,825,981.18/330,101.64
  6. Step 6: Final answer
    x = 228,619.97

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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.