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Finding the Fourth Proportional to 542,421, 748,540.94 and 300,702.96

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Solution

The fourth proportional to 542,421, 748,540.94 and 300,702.96 is: 414,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,421 : 748,540.94 = 300,702.96 : x
  2. Step 2: Convert to fraction form
    542,421/748,540.94 = 300,702.96/x
  3. Step 3: Cross multiply
    542,421x = 748,540.94 × 300,702.96
  4. Step 4: Simplify right side
    542,421x = 225,088,476,339.18
  5. Step 5: Solve for x
    x = 225,088,476,339.18/542,421
  6. Step 6: Final answer
    x = 414,970.06

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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.