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Finding the Fourth Proportional to 564,242.14, 778,667.75 and 309,593.13

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Solution

The fourth proportional to 564,242.14, 778,667.75 and 309,593.13 is: 427,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,242.14 : 778,667.75 = 309,593.13 : x
  2. Step 2: Convert to fraction form
    564,242.14/778,667.75 = 309,593.13/x
  3. Step 3: Cross multiply
    564,242.14x = 778,667.75 × 309,593.13
  4. Step 4: Simplify right side
    564,242.14x = 241,070,185,952.56
  5. Step 5: Solve for x
    x = 241,070,185,952.56/564,242.14
  6. Step 6: Final answer
    x = 427,245.98

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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.