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Finding the Fourth Proportional to 283,456.80, 424,148.40 and 258,573.60

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Solution

The fourth proportional to 283,456.80, 424,148.40 and 258,573.60 is: 386,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,456.80 : 424,148.40 = 258,573.60 : x
  2. Step 2: Convert to fraction form
    283,456.80/424,148.40 = 258,573.60/x
  3. Step 3: Cross multiply
    283,456.80x = 424,148.40 × 258,573.60
  4. Step 4: Simplify right side
    283,456.80x = 109,673,578,722.24
  5. Step 5: Solve for x
    x = 109,673,578,722.24/283,456.80
  6. Step 6: Final answer
    x = 386,914.62

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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.