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Finding the Fourth Proportional to 393,056.40, 542,437.07 and 221,028.51

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Solution

The fourth proportional to 393,056.40, 542,437.07 and 221,028.51 is: 305,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,056.40 : 542,437.07 = 221,028.51 : x
  2. Step 2: Convert to fraction form
    393,056.40/542,437.07 = 221,028.51/x
  3. Step 3: Cross multiply
    393,056.40x = 542,437.07 × 221,028.51
  4. Step 4: Simplify right side
    393,056.40x = 119,894,057,350.87
  5. Step 5: Solve for x
    x = 119,894,057,350.87/393,056.40
  6. Step 6: Final answer
    x = 305,030.16

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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.