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Finding the Fourth Proportional to 656,468.40, 984,529.80 and 207,188.40

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Solution

The fourth proportional to 656,468.40, 984,529.80 and 207,188.40 is: 310,728.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,468.40 : 984,529.80 = 207,188.40 : x
  2. Step 2: Convert to fraction form
    656,468.40/984,529.80 = 207,188.40/x
  3. Step 3: Cross multiply
    656,468.40x = 984,529.80 × 207,188.40
  4. Step 4: Simplify right side
    656,468.40x = 203,983,154,014.32
  5. Step 5: Solve for x
    x = 203,983,154,014.32/656,468.40
  6. Step 6: Final answer
    x = 310,728.06

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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.