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Finding the Fourth Proportional to 386,409.61, 532,629.12 and 304,604.47

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Solution

The fourth proportional to 386,409.61, 532,629.12 and 304,604.47 is: 419,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,409.61 : 532,629.12 = 304,604.47 : x
  2. Step 2: Convert to fraction form
    386,409.61/532,629.12 = 304,604.47/x
  3. Step 3: Cross multiply
    386,409.61x = 532,629.12 × 304,604.47
  4. Step 4: Simplify right side
    386,409.61x = 162,241,210,804.17
  5. Step 5: Solve for x
    x = 162,241,210,804.17/386,409.61
  6. Step 6: Final answer
    x = 419,868.47

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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.