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Finding the Fourth Proportional to 542,357.93, 748,406.92 and 309,783.74

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Solution

The fourth proportional to 542,357.93, 748,406.92 and 309,783.74 is: 427,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,357.93 : 748,406.92 = 309,783.74 : x
  2. Step 2: Convert to fraction form
    542,357.93/748,406.92 = 309,783.74/x
  3. Step 3: Cross multiply
    542,357.93x = 748,406.92 × 309,783.74
  4. Step 4: Simplify right side
    542,357.93x = 231,844,294,122.35
  5. Step 5: Solve for x
    x = 231,844,294,122.35/542,357.93
  6. Step 6: Final answer
    x = 427,474.70

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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.