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Finding the Fourth Proportional to 350,098.40, 524,710.20 and 256,494.80

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Solution

The fourth proportional to 350,098.40, 524,710.20 and 256,494.80 is: 384,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,098.40 : 524,710.20 = 256,494.80 : x
  2. Step 2: Convert to fraction form
    350,098.40/524,710.20 = 256,494.80/x
  3. Step 3: Cross multiply
    350,098.40x = 524,710.20 × 256,494.80
  4. Step 4: Simplify right side
    350,098.40x = 134,585,437,806.96
  5. Step 5: Solve for x
    x = 134,585,437,806.96/350,098.40
  6. Step 6: Final answer
    x = 384,421.74

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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.