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Finding the Fourth Proportional to 369,494.95, 509,902.80 and 199,729.08

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Solution

The fourth proportional to 369,494.95, 509,902.80 and 199,729.08 is: 275,626.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,494.95 : 509,902.80 = 199,729.08 : x
  2. Step 2: Convert to fraction form
    369,494.95/509,902.80 = 199,729.08/x
  3. Step 3: Cross multiply
    369,494.95x = 509,902.80 × 199,729.08
  4. Step 4: Simplify right side
    369,494.95x = 101,842,417,133.42
  5. Step 5: Solve for x
    x = 101,842,417,133.42/369,494.95
  6. Step 6: Final answer
    x = 275,626.01

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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.