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Finding the Fourth Proportional to 369,498.51, 509,908.37 and 199,732.50

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Solution

The fourth proportional to 369,498.51, 509,908.37 and 199,732.50 is: 275,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,498.51 : 509,908.37 = 199,732.50 : x
  2. Step 2: Convert to fraction form
    369,498.51/509,908.37 = 199,732.50/x
  3. Step 3: Cross multiply
    369,498.51x = 509,908.37 × 199,732.50
  4. Step 4: Simplify right side
    369,498.51x = 101,845,272,512.36
  5. Step 5: Solve for x
    x = 101,845,272,512.36/369,498.51
  6. Step 6: Final answer
    x = 275,631.08

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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.