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Finding the Fourth Proportional to 279,969.70, 418,970.40 and 195,332.80

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Solution

The fourth proportional to 279,969.70, 418,970.40 and 195,332.80 is: 292,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,969.70 : 418,970.40 = 195,332.80 : x
  2. Step 2: Convert to fraction form
    279,969.70/418,970.40 = 195,332.80/x
  3. Step 3: Cross multiply
    279,969.70x = 418,970.40 × 195,332.80
  4. Step 4: Simplify right side
    279,969.70x = 81,838,661,349.12
  5. Step 5: Solve for x
    x = 81,838,661,349.12/279,969.70
  6. Step 6: Final answer
    x = 292,312.57

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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.