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Finding the Fourth Proportional to 369,434.52, 509,809.46 and 208,288.17

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Solution

The fourth proportional to 369,434.52, 509,809.46 and 208,288.17 is: 287,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,434.52 : 509,809.46 = 208,288.17 : x
  2. Step 2: Convert to fraction form
    369,434.52/509,809.46 = 208,288.17/x
  3. Step 3: Cross multiply
    369,434.52x = 509,809.46 × 208,288.17
  4. Step 4: Simplify right side
    369,434.52x = 106,187,278,430.65
  5. Step 5: Solve for x
    x = 106,187,278,430.65/369,434.52
  6. Step 6: Final answer
    x = 287,431.93

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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.