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Finding the Fourth Proportional to 405,909.80, 608,864.70 and 389,580.20

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Solution

The fourth proportional to 405,909.80, 608,864.70 and 389,580.20 is: 584,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,909.80 : 608,864.70 = 389,580.20 : x
  2. Step 2: Convert to fraction form
    405,909.80/608,864.70 = 389,580.20/x
  3. Step 3: Cross multiply
    405,909.80x = 608,864.70 × 389,580.20
  4. Step 4: Simplify right side
    405,909.80x = 237,201,631,598.94
  5. Step 5: Solve for x
    x = 237,201,631,598.94/405,909.80
  6. Step 6: Final answer
    x = 584,370.30

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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.