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Finding the Fourth Proportional to 285,468.77, 428,203.16 and 119,140.13

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Solution

The fourth proportional to 285,468.77, 428,203.16 and 119,140.13 is: 178,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,468.77 : 428,203.16 = 119,140.13 : x
  2. Step 2: Convert to fraction form
    285,468.77/428,203.16 = 119,140.13/x
  3. Step 3: Cross multiply
    285,468.77x = 428,203.16 × 119,140.13
  4. Step 4: Simplify right side
    285,468.77x = 51,016,177,412.09
  5. Step 5: Solve for x
    x = 51,016,177,412.09/285,468.77
  6. Step 6: Final answer
    x = 178,710.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.