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Finding the Fourth Proportional to 305,878.79, 458,864.87 and 156,037.33

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Solution

The fourth proportional to 305,878.79, 458,864.87 and 156,037.33 is: 234,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,878.79 : 458,864.87 = 156,037.33 : x
  2. Step 2: Convert to fraction form
    305,878.79/458,864.87 = 156,037.33/x
  3. Step 3: Cross multiply
    305,878.79x = 458,864.87 × 156,037.33
  4. Step 4: Simplify right side
    305,878.79x = 71,600,048,365.41
  5. Step 5: Solve for x
    x = 71,600,048,365.41/305,878.79
  6. Step 6: Final answer
    x = 234,079.81

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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.