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Finding the Fourth Proportional to 284,896.77, 427,155.32 and 156,873.35

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Solution

The fourth proportional to 284,896.77, 427,155.32 and 156,873.35 is: 235,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,896.77 : 427,155.32 = 156,873.35 : x
  2. Step 2: Convert to fraction form
    284,896.77/427,155.32 = 156,873.35/x
  3. Step 3: Cross multiply
    284,896.77x = 427,155.32 × 156,873.35
  4. Step 4: Simplify right side
    284,896.77x = 67,009,287,424.46
  5. Step 5: Solve for x
    x = 67,009,287,424.46/284,896.77
  6. Step 6: Final answer
    x = 235,205.50

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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.