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Finding the Fourth Proportional to 285,420.75, 428,156.40 and 75,058.68

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Solution

The fourth proportional to 285,420.75, 428,156.40 and 75,058.68 is: 112,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,420.75 : 428,156.40 = 75,058.68 : x
  2. Step 2: Convert to fraction form
    285,420.75/428,156.40 = 75,058.68/x
  3. Step 3: Cross multiply
    285,420.75x = 428,156.40 × 75,058.68
  4. Step 4: Simplify right side
    285,420.75x = 32,136,854,217.55
  5. Step 5: Solve for x
    x = 32,136,854,217.55/285,420.75
  6. Step 6: Final answer
    x = 112,594.67

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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.