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Finding the Fourth Proportional to 405,011.80, 607,517.70 and 398,013.40

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Solution

The fourth proportional to 405,011.80, 607,517.70 and 398,013.40 is: 597,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,011.80 : 607,517.70 = 398,013.40 : x
  2. Step 2: Convert to fraction form
    405,011.80/607,517.70 = 398,013.40/x
  3. Step 3: Cross multiply
    405,011.80x = 607,517.70 × 398,013.40
  4. Step 4: Simplify right side
    405,011.80x = 241,800,185,337.18
  5. Step 5: Solve for x
    x = 241,800,185,337.18/405,011.80
  6. Step 6: Final answer
    x = 597,020.10

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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.