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Finding the Fourth Proportional to 278,015.86, 383,702.88 and 176,050.63

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Solution

The fourth proportional to 278,015.86, 383,702.88 and 176,050.63 is: 242,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,015.86 : 383,702.88 = 176,050.63 : x
  2. Step 2: Convert to fraction form
    278,015.86/383,702.88 = 176,050.63/x
  3. Step 3: Cross multiply
    278,015.86x = 383,702.88 × 176,050.63
  4. Step 4: Simplify right side
    278,015.86x = 67,551,133,756.81
  5. Step 5: Solve for x
    x = 67,551,133,756.81/278,015.86
  6. Step 6: Final answer
    x = 242,975.83

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1.5x scale

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.