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Finding the Fourth Proportional to 564,388.64, 778,875.12 and 309,753.68

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Solution

The fourth proportional to 564,388.64, 778,875.12 and 309,753.68 is: 427,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,388.64 : 778,875.12 = 309,753.68 : x
  2. Step 2: Convert to fraction form
    564,388.64/778,875.12 = 309,753.68/x
  3. Step 3: Cross multiply
    564,388.64x = 778,875.12 × 309,753.68
  4. Step 4: Simplify right side
    564,388.64x = 241,259,434,680.44
  5. Step 5: Solve for x
    x = 241,259,434,680.44/564,388.64
  6. Step 6: Final answer
    x = 427,470.39

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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.