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Finding the Fourth Proportional to 278,776.41, 420,038.64 and 252,152.04

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Solution

The fourth proportional to 278,776.41, 420,038.64 and 252,152.04 is: 379,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,776.41 : 420,038.64 = 252,152.04 : x
  2. Step 2: Convert to fraction form
    278,776.41/420,038.64 = 252,152.04/x
  3. Step 3: Cross multiply
    278,776.41x = 420,038.64 × 252,152.04
  4. Step 4: Simplify right side
    278,776.41x = 105,913,599,954.83
  5. Step 5: Solve for x
    x = 105,913,599,954.83/278,776.41
  6. Step 6: Final answer
    x = 379,923.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.