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Finding the Fourth Proportional to 508,705.31, 702,016.07 and 317,829.42

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Solution

The fourth proportional to 508,705.31, 702,016.07 and 317,829.42 is: 438,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,705.31 : 702,016.07 = 317,829.42 : x
  2. Step 2: Convert to fraction form
    508,705.31/702,016.07 = 317,829.42/x
  3. Step 3: Cross multiply
    508,705.31x = 702,016.07 × 317,829.42
  4. Step 4: Simplify right side
    508,705.31x = 223,121,358,769.63
  5. Step 5: Solve for x
    x = 223,121,358,769.63/508,705.31
  6. Step 6: Final answer
    x = 438,606.31

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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.