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Finding the Fourth Proportional to 564,328.48, 778,742.28 and 309,659.56

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Solution

The fourth proportional to 564,328.48, 778,742.28 and 309,659.56 is: 427,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,328.48 : 778,742.28 = 309,659.56 : x
  2. Step 2: Convert to fraction form
    564,328.48/778,742.28 = 309,659.56/x
  3. Step 3: Cross multiply
    564,328.48x = 778,742.28 × 309,659.56
  4. Step 4: Simplify right side
    564,328.48x = 241,144,991,778.20
  5. Step 5: Solve for x
    x = 241,144,991,778.20/564,328.48
  6. Step 6: Final answer
    x = 427,313.17

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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.