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Finding the Fourth Proportional to 542,298.36, 748,364.40 and 300,575.82

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Solution

The fourth proportional to 542,298.36, 748,364.40 and 300,575.82 is: 414,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,298.36 : 748,364.40 = 300,575.82 : x
  2. Step 2: Convert to fraction form
    542,298.36/748,364.40 = 300,575.82/x
  3. Step 3: Cross multiply
    542,298.36x = 748,364.40 × 300,575.82
  4. Step 4: Simplify right side
    542,298.36x = 224,940,243,188.81
  5. Step 5: Solve for x
    x = 224,940,243,188.81/542,298.36
  6. Step 6: Final answer
    x = 414,790.57

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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.