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Finding the Fourth Proportional to 365,071.64, 503,471.61 and 304,020

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Solution

The fourth proportional to 365,071.64, 503,471.61 and 304,020 is: 419,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,071.64 : 503,471.61 = 304,020 : x
  2. Step 2: Convert to fraction form
    365,071.64/503,471.61 = 304,020/x
  3. Step 3: Cross multiply
    365,071.64x = 503,471.61 × 304,020
  4. Step 4: Simplify right side
    365,071.64x = 153,065,438,017.14
  5. Step 5: Solve for x
    x = 153,065,438,017.14/365,071.64
  6. Step 6: Final answer
    x = 419,275.07

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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.