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Finding the Fourth Proportional to 631,877.06, 947,864.61 and 211,154.42

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Solution

The fourth proportional to 631,877.06, 947,864.61 and 211,154.42 is: 316,748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,877.06 : 947,864.61 = 211,154.42 : x
  2. Step 2: Convert to fraction form
    631,877.06/947,864.61 = 211,154.42/x
  3. Step 3: Cross multiply
    631,877.06x = 947,864.61 × 211,154.42
  4. Step 4: Simplify right side
    631,877.06x = 200,145,801,963.08
  5. Step 5: Solve for x
    x = 200,145,801,963.08/631,877.06
  6. Step 6: Final answer
    x = 316,748.01

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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.