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Finding the Fourth Proportional to 542,778.40, 749,123.84 and 301,138.80

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Solution

The fourth proportional to 542,778.40, 749,123.84 and 301,138.80 is: 415,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,778.40 : 749,123.84 = 301,138.80 : x
  2. Step 2: Convert to fraction form
    542,778.40/749,123.84 = 301,138.80/x
  3. Step 3: Cross multiply
    542,778.40x = 749,123.84 × 301,138.80
  4. Step 4: Simplify right side
    542,778.40x = 225,590,254,228.99
  5. Step 5: Solve for x
    x = 225,590,254,228.99/542,778.40
  6. Step 6: Final answer
    x = 415,621.28

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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.