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Finding the Fourth Proportional to 564,505.60, 779,026.56 and 309,880

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Solution

The fourth proportional to 564,505.60, 779,026.56 and 309,880 is: 427,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,505.60 : 779,026.56 = 309,880 : x
  2. Step 2: Convert to fraction form
    564,505.60/779,026.56 = 309,880/x
  3. Step 3: Cross multiply
    564,505.60x = 779,026.56 × 309,880
  4. Step 4: Simplify right side
    564,505.60x = 241,404,750,412.80
  5. Step 5: Solve for x
    x = 241,404,750,412.80/564,505.60
  6. Step 6: Final answer
    x = 427,639.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.