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Finding the Fourth Proportional to 613,820.74, 919,159.02 and 512,366.54

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Solution

The fourth proportional to 613,820.74, 919,159.02 and 512,366.54 is: 767,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,820.74 : 919,159.02 = 512,366.54 : x
  2. Step 2: Convert to fraction form
    613,820.74/919,159.02 = 512,366.54/x
  3. Step 3: Cross multiply
    613,820.74x = 919,159.02 × 512,366.54
  4. Step 4: Simplify right side
    613,820.74x = 470,946,326,787.19
  5. Step 5: Solve for x
    x = 470,946,326,787.19/613,820.74
  6. Step 6: Final answer
    x = 767,237.56

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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.