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Finding the Fourth Proportional to 278,012.64, 383,657.85 and 150,688.20

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Solution

The fourth proportional to 278,012.64, 383,657.85 and 150,688.20 is: 207,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,012.64 : 383,657.85 = 150,688.20 : x
  2. Step 2: Convert to fraction form
    278,012.64/383,657.85 = 150,688.20/x
  3. Step 3: Cross multiply
    278,012.64x = 383,657.85 × 150,688.20
  4. Step 4: Simplify right side
    278,012.64x = 57,812,710,832.37
  5. Step 5: Solve for x
    x = 57,812,710,832.37/278,012.64
  6. Step 6: Final answer
    x = 207,949.94

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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.