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Finding the Fourth Proportional to 284,421.40, 426,516.90 and 97,336.60

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Solution

The fourth proportional to 284,421.40, 426,516.90 and 97,336.60 is: 145,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,421.40 : 426,516.90 = 97,336.60 : x
  2. Step 2: Convert to fraction form
    284,421.40/426,516.90 = 97,336.60/x
  3. Step 3: Cross multiply
    284,421.40x = 426,516.90 × 97,336.60
  4. Step 4: Simplify right side
    284,421.40x = 41,515,704,888.54
  5. Step 5: Solve for x
    x = 41,515,704,888.54/284,421.40
  6. Step 6: Final answer
    x = 145,965.48

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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.