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Finding the Fourth Proportional to 369,203.76, 509,501.40 and 199,437.92

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Solution

The fourth proportional to 369,203.76, 509,501.40 and 199,437.92 is: 275,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,203.76 : 509,501.40 = 199,437.92 : x
  2. Step 2: Convert to fraction form
    369,203.76/509,501.40 = 199,437.92/x
  3. Step 3: Cross multiply
    369,203.76x = 509,501.40 × 199,437.92
  4. Step 4: Simplify right side
    369,203.76x = 101,613,899,453.09
  5. Step 5: Solve for x
    x = 101,613,899,453.09/369,203.76
  6. Step 6: Final answer
    x = 275,224.44

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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.