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Finding the Fourth Proportional to 542,156.94, 748,192.98 and 300,416.90

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Solution

The fourth proportional to 542,156.94, 748,192.98 and 300,416.90 is: 414,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,156.94 : 748,192.98 = 300,416.90 : x
  2. Step 2: Convert to fraction form
    542,156.94/748,192.98 = 300,416.90/x
  3. Step 3: Cross multiply
    542,156.94x = 748,192.98 × 300,416.90
  4. Step 4: Simplify right side
    542,156.94x = 224,769,815,653.36
  5. Step 5: Solve for x
    x = 224,769,815,653.36/542,156.94
  6. Step 6: Final answer
    x = 414,584.41

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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.