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Finding the Fourth Proportional to 400,204.85, 600,387.63 and 147,486.67

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Solution

The fourth proportional to 400,204.85, 600,387.63 and 147,486.67 is: 221,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,204.85 : 600,387.63 = 147,486.67 : x
  2. Step 2: Convert to fraction form
    400,204.85/600,387.63 = 147,486.67/x
  3. Step 3: Cross multiply
    400,204.85x = 600,387.63 × 147,486.67
  4. Step 4: Simplify right side
    400,204.85x = 88,549,169,937.25
  5. Step 5: Solve for x
    x = 88,549,169,937.25/400,204.85
  6. Step 6: Final answer
    x = 221,259.61

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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.