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Finding the Fourth Proportional to 278,002.40, 383,643.60 and 150,677.60

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Solution

The fourth proportional to 278,002.40, 383,643.60 and 150,677.60 is: 207,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,002.40 : 383,643.60 = 150,677.60 : x
  2. Step 2: Convert to fraction form
    278,002.40/383,643.60 = 150,677.60/x
  3. Step 3: Cross multiply
    278,002.40x = 383,643.60 × 150,677.60
  4. Step 4: Simplify right side
    278,002.40x = 57,806,496,903.36
  5. Step 5: Solve for x
    x = 57,806,496,903.36/278,002.40
  6. Step 6: Final answer
    x = 207,935.24

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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.