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Finding the Fourth Proportional to 283,130.40, 424,697.76 and 103,344.69

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Solution

The fourth proportional to 283,130.40, 424,697.76 and 103,344.69 is: 155,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,130.40 : 424,697.76 = 103,344.69 : x
  2. Step 2: Convert to fraction form
    283,130.40/424,697.76 = 103,344.69/x
  3. Step 3: Cross multiply
    283,130.40x = 424,697.76 × 103,344.69
  4. Step 4: Simplify right side
    283,130.40x = 43,890,258,350.89
  5. Step 5: Solve for x
    x = 43,890,258,350.89/283,130.40
  6. Step 6: Final answer
    x = 155,017.82

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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.