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Finding the Fourth Proportional to 390,989.20, 586,366.80 and 203,898.64

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Solution

The fourth proportional to 390,989.20, 586,366.80 and 203,898.64 is: 305,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,989.20 : 586,366.80 = 203,898.64 : x
  2. Step 2: Convert to fraction form
    390,989.20/586,366.80 = 203,898.64/x
  3. Step 3: Cross multiply
    390,989.20x = 586,366.80 × 203,898.64
  4. Step 4: Simplify right side
    390,989.20x = 119,559,393,061.15
  5. Step 5: Solve for x
    x = 119,559,393,061.15/390,989.20
  6. Step 6: Final answer
    x = 305,786.95

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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.