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Finding the Fourth Proportional to 542,020.86, 747,979.08 and 300,298.58

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Solution

The fourth proportional to 542,020.86, 747,979.08 and 300,298.58 is: 414,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,020.86 : 747,979.08 = 300,298.58 : x
  2. Step 2: Convert to fraction form
    542,020.86/747,979.08 = 300,298.58/x
  3. Step 3: Cross multiply
    542,020.86x = 747,979.08 × 300,298.58
  4. Step 4: Simplify right side
    542,020.86x = 224,617,055,593.71
  5. Step 5: Solve for x
    x = 224,617,055,593.71/542,020.86
  6. Step 6: Final answer
    x = 414,406.67

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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.