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Finding the Fourth Proportional to 369,585.48, 509,997.40 and 208,480.12

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Solution

The fourth proportional to 369,585.48, 509,997.40 and 208,480.12 is: 287,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,585.48 : 509,997.40 = 208,480.12 : x
  2. Step 2: Convert to fraction form
    369,585.48/509,997.40 = 208,480.12/x
  3. Step 3: Cross multiply
    369,585.48x = 509,997.40 × 208,480.12
  4. Step 4: Simplify right side
    369,585.48x = 106,324,319,151.69
  5. Step 5: Solve for x
    x = 106,324,319,151.69/369,585.48
  6. Step 6: Final answer
    x = 287,685.33

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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.