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Finding the Fourth Proportional to 283,283.79, 424,883.67 and 103,327.02

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Solution

The fourth proportional to 283,283.79, 424,883.67 and 103,327.02 is: 154,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,283.79 : 424,883.67 = 103,327.02 : x
  2. Step 2: Convert to fraction form
    283,283.79/424,883.67 = 103,327.02/x
  3. Step 3: Cross multiply
    283,283.79x = 424,883.67 × 103,327.02
  4. Step 4: Simplify right side
    283,283.79x = 43,901,963,467.76
  5. Step 5: Solve for x
    x = 43,901,963,467.76/283,283.79
  6. Step 6: Final answer
    x = 154,975.21

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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.