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Finding the Fourth Proportional to 542,592, 748,776.96 and 304,128

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Solution

The fourth proportional to 542,592, 748,776.96 and 304,128 is: 419,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,592 : 748,776.96 = 304,128 : x
  2. Step 2: Convert to fraction form
    542,592/748,776.96 = 304,128/x
  3. Step 3: Cross multiply
    542,592x = 748,776.96 × 304,128
  4. Step 4: Simplify right side
    542,592x = 227,724,039,290.88
  5. Step 5: Solve for x
    x = 227,724,039,290.88/542,592
  6. Step 6: Final answer
    x = 419,696.64

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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.