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Finding the Fourth Proportional to 564,492.60, 779,008.62 and 309,867

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Solution

The fourth proportional to 564,492.60, 779,008.62 and 309,867 is: 427,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,492.60 : 779,008.62 = 309,867 : x
  2. Step 2: Convert to fraction form
    564,492.60/779,008.62 = 309,867/x
  3. Step 3: Cross multiply
    564,492.60x = 779,008.62 × 309,867
  4. Step 4: Simplify right side
    564,492.60x = 241,389,064,053.54
  5. Step 5: Solve for x
    x = 241,389,064,053.54/564,492.60
  6. Step 6: Final answer
    x = 427,621.31

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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.