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Finding the Fourth Proportional to 546,750.18, 754,515.81 and 320,395.50

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Solution

The fourth proportional to 546,750.18, 754,515.81 and 320,395.50 is: 442,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,750.18 : 754,515.81 = 320,395.50 : x
  2. Step 2: Convert to fraction form
    546,750.18/754,515.81 = 320,395.50/x
  3. Step 3: Cross multiply
    546,750.18x = 754,515.81 × 320,395.50
  4. Step 4: Simplify right side
    546,750.18x = 241,743,470,202.86
  5. Step 5: Solve for x
    x = 241,743,470,202.86/546,750.18
  6. Step 6: Final answer
    x = 442,146.12

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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.