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Finding the Fourth Proportional to 330,399.95, 495,663.71 and 140,857.11

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Solution

The fourth proportional to 330,399.95, 495,663.71 and 140,857.11 is: 211,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,399.95 : 495,663.71 = 140,857.11 : x
  2. Step 2: Convert to fraction form
    330,399.95/495,663.71 = 140,857.11/x
  3. Step 3: Cross multiply
    330,399.95x = 495,663.71 × 140,857.11
  4. Step 4: Simplify right side
    330,399.95x = 69,817,757,018.19
  5. Step 5: Solve for x
    x = 69,817,757,018.19/330,399.95
  6. Step 6: Final answer
    x = 211,312.86

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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.