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Finding the Fourth Proportional to 369,305.79, 509,665.95 and 205,980.63

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Solution

The fourth proportional to 369,305.79, 509,665.95 and 205,980.63 is: 284,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,305.79 : 509,665.95 = 205,980.63 : x
  2. Step 2: Convert to fraction form
    369,305.79/509,665.95 = 205,980.63/x
  3. Step 3: Cross multiply
    369,305.79x = 509,665.95 × 205,980.63
  4. Step 4: Simplify right side
    369,305.79x = 104,981,313,470.55
  5. Step 5: Solve for x
    x = 104,981,313,470.55/369,305.79
  6. Step 6: Final answer
    x = 284,266.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.