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Finding the Fourth Proportional to 420,771.07, 631,470.08 and 308,740.78

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Solution

The fourth proportional to 420,771.07, 631,470.08 and 308,740.78 is: 463,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,771.07 : 631,470.08 = 308,740.78 : x
  2. Step 2: Convert to fraction form
    420,771.07/631,470.08 = 308,740.78/x
  3. Step 3: Cross multiply
    420,771.07x = 631,470.08 × 308,740.78
  4. Step 4: Simplify right side
    420,771.07x = 194,960,563,502.16
  5. Step 5: Solve for x
    x = 194,960,563,502.16/420,771.07
  6. Step 6: Final answer
    x = 463,341.18

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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.