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Finding the Fourth Proportional to 369,298.50, 509,661.09 and 205,978.20

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Solution

The fourth proportional to 369,298.50, 509,661.09 and 205,978.20 is: 284,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,298.50 : 509,661.09 = 205,978.20 : x
  2. Step 2: Convert to fraction form
    369,298.50/509,661.09 = 205,978.20/x
  3. Step 3: Cross multiply
    369,298.50x = 509,661.09 × 205,978.20
  4. Step 4: Simplify right side
    369,298.50x = 104,979,073,928.24
  5. Step 5: Solve for x
    x = 104,979,073,928.24/369,298.50
  6. Step 6: Final answer
    x = 284,266.18

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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.