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Finding the Fourth Proportional to 278,509.64, 384,235.65 and 157,623.21

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Solution

The fourth proportional to 278,509.64, 384,235.65 and 157,623.21 is: 217,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,509.64 : 384,235.65 = 157,623.21 : x
  2. Step 2: Convert to fraction form
    278,509.64/384,235.65 = 157,623.21/x
  3. Step 3: Cross multiply
    278,509.64x = 384,235.65 × 157,623.21
  4. Step 4: Simplify right side
    278,509.64x = 60,564,456,549.44
  5. Step 5: Solve for x
    x = 60,564,456,549.44/278,509.64
  6. Step 6: Final answer
    x = 217,459.11

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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.