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Finding the Fourth Proportional to 278,043, 383,697.18 and 150,715.32

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Solution

The fourth proportional to 278,043, 383,697.18 and 150,715.32 is: 207,985.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,043 : 383,697.18 = 150,715.32 : x
  2. Step 2: Convert to fraction form
    278,043/383,697.18 = 150,715.32/x
  3. Step 3: Cross multiply
    278,043x = 383,697.18 × 150,715.32
  4. Step 4: Simplify right side
    278,043x = 57,829,043,266.80
  5. Step 5: Solve for x
    x = 57,829,043,266.80/278,043
  6. Step 6: Final answer
    x = 207,985.97

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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.