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Finding the Fourth Proportional to 420,785.74, 631,178.70 and 105,242.68

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Solution

The fourth proportional to 420,785.74, 631,178.70 and 105,242.68 is: 157,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,785.74 : 631,178.70 = 105,242.68 : x
  2. Step 2: Convert to fraction form
    420,785.74/631,178.70 = 105,242.68/x
  3. Step 3: Cross multiply
    420,785.74x = 631,178.70 × 105,242.68
  4. Step 4: Simplify right side
    420,785.74x = 66,426,937,946.92
  5. Step 5: Solve for x
    x = 66,426,937,946.92/420,785.74
  6. Step 6: Final answer
    x = 157,864.04

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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.