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Finding the Fourth Proportional to 385,412.92, 531,870.56 and 213,342.80

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Solution

The fourth proportional to 385,412.92, 531,870.56 and 213,342.80 is: 294,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,412.92 : 531,870.56 = 213,342.80 : x
  2. Step 2: Convert to fraction form
    385,412.92/531,870.56 = 213,342.80/x
  3. Step 3: Cross multiply
    385,412.92x = 531,870.56 × 213,342.80
  4. Step 4: Simplify right side
    385,412.92x = 113,470,754,507.97
  5. Step 5: Solve for x
    x = 113,470,754,507.97/385,412.92
  6. Step 6: Final answer
    x = 294,413.47

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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.