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Finding the Fourth Proportional to 425,205, 586,782.90 and 234,217.80

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Solution

The fourth proportional to 425,205, 586,782.90 and 234,217.80 is: 323,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,205 : 586,782.90 = 234,217.80 : x
  2. Step 2: Convert to fraction form
    425,205/586,782.90 = 234,217.80/x
  3. Step 3: Cross multiply
    425,205x = 586,782.90 × 234,217.80
  4. Step 4: Simplify right side
    425,205x = 137,434,999,915.62
  5. Step 5: Solve for x
    x = 137,434,999,915.62/425,205
  6. Step 6: Final answer
    x = 323,220.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.