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Finding the Fourth Proportional to 542,158.94, 748,195.74 and 300,418.90

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Solution

The fourth proportional to 542,158.94, 748,195.74 and 300,418.90 is: 414,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,158.94 : 748,195.74 = 300,418.90 : x
  2. Step 2: Convert to fraction form
    542,158.94/748,195.74 = 300,418.90/x
  3. Step 3: Cross multiply
    542,158.94x = 748,195.74 × 300,418.90
  4. Step 4: Simplify right side
    542,158.94x = 224,772,141,195.49
  5. Step 5: Solve for x
    x = 224,772,141,195.49/542,158.94
  6. Step 6: Final answer
    x = 414,587.17

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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.