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Finding the Fourth Proportional to 369,210, 509,509.80 and 199,444.14

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Solution

The fourth proportional to 369,210, 509,509.80 and 199,444.14 is: 275,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,210 : 509,509.80 = 199,444.14 : x
  2. Step 2: Convert to fraction form
    369,210/509,509.80 = 199,444.14/x
  3. Step 3: Cross multiply
    369,210x = 509,509.80 × 199,444.14
  4. Step 4: Simplify right side
    369,210x = 101,618,743,882.57
  5. Step 5: Solve for x
    x = 101,618,743,882.57/369,210
  6. Step 6: Final answer
    x = 275,232.91

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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.