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Finding the Fourth Proportional to 308,963, 463,447.34 and 121,974.50

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Solution

The fourth proportional to 308,963, 463,447.34 and 121,974.50 is: 182,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,963 : 463,447.34 = 121,974.50 : x
  2. Step 2: Convert to fraction form
    308,963/463,447.34 = 121,974.50/x
  3. Step 3: Cross multiply
    308,963x = 463,447.34 × 121,974.50
  4. Step 4: Simplify right side
    308,963x = 56,528,757,572.83
  5. Step 5: Solve for x
    x = 56,528,757,572.83/308,963
  6. Step 6: Final answer
    x = 182,962.87

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1.5x scale

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.