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Finding the Fourth Proportional to 539,071, 744,157.10 and 348,177.48

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Solution

The fourth proportional to 539,071, 744,157.10 and 348,177.48 is: 480,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,071 : 744,157.10 = 348,177.48 : x
  2. Step 2: Convert to fraction form
    539,071/744,157.10 = 348,177.48/x
  3. Step 3: Cross multiply
    539,071x = 744,157.10 × 348,177.48
  4. Step 4: Simplify right side
    539,071x = 259,098,743,802.11
  5. Step 5: Solve for x
    x = 259,098,743,802.11/539,071
  6. Step 6: Final answer
    x = 480,639.37

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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.