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Finding the Fourth Proportional to 428,888.48, 643,552.28 and 189,169.52

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Solution

The fourth proportional to 428,888.48, 643,552.28 and 189,169.52 is: 283,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,888.48 : 643,552.28 = 189,169.52 : x
  2. Step 2: Convert to fraction form
    428,888.48/643,552.28 = 189,169.52/x
  3. Step 3: Cross multiply
    428,888.48x = 643,552.28 × 189,169.52
  4. Step 4: Simplify right side
    428,888.48x = 121,740,475,902.51
  5. Step 5: Solve for x
    x = 121,740,475,902.51/428,888.48
  6. Step 6: Final answer
    x = 283,851.12

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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.