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Finding the Fourth Proportional to 487,463.28, 731,314.56 and 343,650.13

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Solution

The fourth proportional to 487,463.28, 731,314.56 and 343,650.13 is: 515,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,463.28 : 731,314.56 = 343,650.13 : x
  2. Step 2: Convert to fraction form
    487,463.28/731,314.56 = 343,650.13/x
  3. Step 3: Cross multiply
    487,463.28x = 731,314.56 × 343,650.13
  4. Step 4: Simplify right side
    487,463.28x = 251,316,343,075.29
  5. Step 5: Solve for x
    x = 251,316,343,075.29/487,463.28
  6. Step 6: Final answer
    x = 515,559.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.