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Finding the Fourth Proportional to 309,905.40, 464,858.10 and 256,761.30

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Solution

The fourth proportional to 309,905.40, 464,858.10 and 256,761.30 is: 385,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,905.40 : 464,858.10 = 256,761.30 : x
  2. Step 2: Convert to fraction form
    309,905.40/464,858.10 = 256,761.30/x
  3. Step 3: Cross multiply
    309,905.40x = 464,858.10 × 256,761.30
  4. Step 4: Simplify right side
    309,905.40x = 119,357,570,071.53
  5. Step 5: Solve for x
    x = 119,357,570,071.53/309,905.40
  6. Step 6: Final answer
    x = 385,141.95

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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.