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Finding the Fourth Proportional to 283,509.90, 424,280.70 and 259,890.30

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Solution

The fourth proportional to 283,509.90, 424,280.70 and 259,890.30 is: 388,933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,509.90 : 424,280.70 = 259,890.30 : x
  2. Step 2: Convert to fraction form
    283,509.90/424,280.70 = 259,890.30/x
  3. Step 3: Cross multiply
    283,509.90x = 424,280.70 × 259,890.30
  4. Step 4: Simplify right side
    283,509.90x = 110,266,438,407.21
  5. Step 5: Solve for x
    x = 110,266,438,407.21/283,509.90
  6. Step 6: Final answer
    x = 388,933.29

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1.5x scale

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.