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Finding the Fourth Proportional to 656,400, 984,695.04 and 206,968.32

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Solution

The fourth proportional to 656,400, 984,695.04 and 206,968.32 is: 310,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,400 : 984,695.04 = 206,968.32 : x
  2. Step 2: Convert to fraction form
    656,400/984,695.04 = 206,968.32/x
  3. Step 3: Cross multiply
    656,400x = 984,695.04 × 206,968.32
  4. Step 4: Simplify right side
    656,400x = 203,800,678,141.13
  5. Step 5: Solve for x
    x = 203,800,678,141.13/656,400
  6. Step 6: Final answer
    x = 310,482.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.