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Finding the Fourth Proportional to 542,016.81, 747,989.21 and 300,303.19

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Solution

The fourth proportional to 542,016.81, 747,989.21 and 300,303.19 is: 414,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,016.81 : 747,989.21 = 300,303.19 : x
  2. Step 2: Convert to fraction form
    542,016.81/747,989.21 = 300,303.19/x
  3. Step 3: Cross multiply
    542,016.81x = 747,989.21 × 300,303.19
  4. Step 4: Simplify right side
    542,016.81x = 224,623,542,477.09
  5. Step 5: Solve for x
    x = 224,623,542,477.09/542,016.81
  6. Step 6: Final answer
    x = 414,421.73

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Double scale
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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.