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Finding the Fourth Proportional to 477,248.21, 715,995.35 and 140,299.86

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Solution

The fourth proportional to 477,248.21, 715,995.35 and 140,299.86 is: 210,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,248.21 : 715,995.35 = 140,299.86 : x
  2. Step 2: Convert to fraction form
    477,248.21/715,995.35 = 140,299.86/x
  3. Step 3: Cross multiply
    477,248.21x = 715,995.35 × 140,299.86
  4. Step 4: Simplify right side
    477,248.21x = 100,454,046,664.15
  5. Step 5: Solve for x
    x = 100,454,046,664.15/477,248.21
  6. Step 6: Final answer
    x = 210,485.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.