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Finding the Fourth Proportional to 309,991.30, 464,877.60 and 141,592.30

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Solution

The fourth proportional to 309,991.30, 464,877.60 and 141,592.30 is: 212,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,991.30 : 464,877.60 = 141,592.30 : x
  2. Step 2: Convert to fraction form
    309,991.30/464,877.60 = 141,592.30/x
  3. Step 3: Cross multiply
    309,991.30x = 464,877.60 × 141,592.30
  4. Step 4: Simplify right side
    309,991.30x = 65,823,088,602.48
  5. Step 5: Solve for x
    x = 65,823,088,602.48/309,991.30
  6. Step 6: Final answer
    x = 212,338.50

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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.